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True hit: Difference between revisions

From Fire Emblem Wiki, your source on Fire Emblem information. By fans, for fans.
m (Text replacement - "Missing at 100% accuracy" to "Failing a 100% chance")
 
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{{Conjectural title}}
{{Conjectural title}}
'''True hit''' is a calculation that determines whether or not a [[unit]]'s attack will hit their opponent. As its name suggests, true hit differs from the displayed [[hit rate]].
'''True hit''', also referred to as '''2RN''' (short for "two random numbers"), is a calculation that determines whether or not a [[unit]]'s attack will hit their opponent. As its name suggests, true hit differs from the displayed [[hit rate]].


=={{title|Shadow Dragon and the Blade of Light}} through {{title|Thracia 776}}==
=={{title|Shadow Dragon & the Blade of Light}} through {{title|Thracia 776}}==
All games up to ''Thracia 776'' do not use true hit; the displayed hit rate is the same as the actual hit rate. The game will only roll for one random number from 0 to 99, and if this random number is less than the hit rate, the attack will land.
All games up to ''Thracia 776'' do not use true hit; the displayed hit rate is the same as the actual hit rate. The game will only roll for one random number from 0 to 99, and if this random number is less than the hit rate, the attack will land. This is colloquially called "1RN" ("one random number").


=={{title|The Binding Blade}} through {{title|Awakening}}==
=={{title|The Binding Blade}} through {{title|Awakening}} and {{title|Three Houses}}==
True hit was first introduced in ''The Binding Blade'' and is featured in every game following up to and including ''Awakening''. It was absent in ''Fates'' and ''Shadows of Valentia'', which instead use a "hybrid" system. In these games, instead of rolling just one random number, the game will instead roll two. These two random numbers are then averaged, and this resulting average is what is compared to the displayed hit rate; if the average number is less than the hit rate, the attack will land.
True hit was first introduced in ''The Binding Blade'' and is featured in every game following up to and including ''Awakening''. It was absent in ''Fates'' and ''Shadows of Valentia'', which instead use a "hybrid" system, before returning in ''Three Houses''.<ref>{{Cite web|author=u/dee-ee|published=September 14, 2019|retrieved=November 14, 2019|url=https://old.reddit.com/r/fireemblem/comments/d3zr78/three_houses_absolutely_uses_2rn_a_technical/|title=Three Houses absolutely uses 2RN; a technical analysis|site=Reddit}}</ref> In these games, instead of rolling just one random number, the game will instead roll two. These two random numbers are then averaged, and this resulting average is what is compared to the displayed hit rate; if the average number is less than the hit rate, the attack will land.


As a result of this double random number system, the likelihood of landing hit rates below 50% is lower than what is shown, while the likelihood of landing hit rates above 50% is higher than what is shown. In effect, this makes higher hit rates more reliable than in previous games, and makes lower hit rates even more likely to miss, making avoiding attacks more reliable. [[Class]]es with high [[avoid]] such as [[Swordmaster]]s benefit greatly from this, as opponents will naturally have low hit rates against them already.
As a result of this double random number system, the likelihood of landing hit rates below 50% is lower than what is shown, while the likelihood of landing hit rates above 50% is higher than what is shown. In effect, this makes higher hit rates more reliable than in previous games, and makes lower hit rates even more likely to miss, making avoiding attacks more reliable. [[Class]]es with high [[avoid]] such as [[Swordmaster]]s benefit greatly from this, as opponents will naturally have low hit rates against them already.


The following table shows the discrepancies:<ref>http://serenesforest.net/general/true-hit/</ref>
The following table shows the discrepancies:<ref>{{cite web|url=http://serenesforest.net/general/true-hit/|title=True Hit|site=Serenes Forest|retrieved=June 2, 2018}}</ref>


{|width="80%" class="cellpadding-3 mw-collapsible mw-collapsed" align=center style="border-spacing: 4px; {{round}}; border:2px solid {{Color2}}; background-color: {{Color1}}; text-align: center"
:''Note that in ''The Binding Blade'', due to [[Glitch#Failing a 100% chance|an error in how random numbers are generated]], the actual hit rates are slightly lower, resulting in the possibility of missing attacks with a displayed hit of 100.''
!style="{{roundtl}}; border:none" width="100%" colspan="13"|Displayed [[hit rate]] vs. actual hit rate
{| class="cellpadding-3 mw-collapsible mw-collapsed basic" style="border-spacing: 4px; border-width: 2px; width: 80%"
! style="background: none" colspan="13"| Displayed [[hit rate]] vs. actual hit rate
|-
|-
!style="{{Roundtl}}; border:none; background-color:{{Color3}}| Hit rate
! style="border-top-left-radius: 15px" | Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="{{Roundtr}}; border:none; background-color:{{Color3}}| True hit
! style="border-top-right-radius: 15px" | True hit
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0
| 0
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.00
| 0.00
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 20
| 20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 8.20
| 8.20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 40
| 40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 32.40
| 32.40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 60
| 60
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 68.40
| 68.40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 80
| 80
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 92.20
| 92.20
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 1
| 1
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.03
| 0.03
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 21
| 21
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 9.03
| 9.03
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 41
| 41
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 34.03
| 34.03
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 61
| 61
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 69.97
| 69.97
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 81
| 81
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 92.97
| 92.97
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 2
| 2
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.10
| 0.10
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 22
| 22
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 9.90
| 9.90
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 42
| 42
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 35.70
| 35.70
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 62
| 62
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 71.50
| 71.50
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 82
| 82
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 93.70
| 93.70
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 3
| 3
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.21
| 0.21
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 23
| 23
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 10.81
| 10.81
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 43
| 43
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 37.41
| 37.41
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 63
| 63
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 72.99
| 72.99
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 83
| 83
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 94.39
| 94.39
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 4
| 4
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.36
| 0.36
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 24
| 24
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 11.76
| 11.76
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 44
| 44
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 39.16
| 39.16
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 64
| 64
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 74.44
| 74.44
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 84
| 84
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 95.04
| 95.04
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 5
| 5
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.55
| 0.55
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 25
| 25
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 12.75
| 12.75
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 45
| 45
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 40.95
| 40.95
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 65
| 65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 75.85
| 75.85
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 85
| 85
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 95.65
| 95.65
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 6
| 6
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 0.78
| 0.78
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 26
| 26
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 13.78
| 13.78
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 46
| 46
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 42.78
| 42.78
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 66
| 66
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 77.22
| 77.22
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 86
| 86
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 96.22
| 96.22
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 7
| 7
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 1.05
| 1.05
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 27
| 27
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 14.85
| 14.85
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 47
| 47
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 44.65
| 44.65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 67
| 67
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 78.55
| 78.55
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 87
| 87
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 96.75
| 96.75
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 8
| 8
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 1.36
| 1.36
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 28
| 28
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 15.96
| 15.96
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 48
| 48
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 46.56
| 46.56
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 68
| 68
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 79.84
| 79.84
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 88
| 88
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97.24
| 97.24
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 9
| 9
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 1.71
| 1.71
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 29
| 29
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 17.11
| 17.11
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 49
| 49
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 48.51
| 48.51
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 69
| 69
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 81.09
| 81.09
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 89
| 89
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97.69
| 97.69
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 10
| 10
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 2.10
| 2.10
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 30
| 30
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 18.30
| 18.30
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 50
| 50
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 50.50
| 50.50
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 70
| 70
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 82.30
| 82.30
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 90
| 90
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98.10
| 98.10
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 11
| 11
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 2.53
| 2.53
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 31
| 31
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 19.53
| 19.53
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 51
| 51
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 52.47
| 52.47
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 71
| 71
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 83.47
| 83.47
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 91
| 91
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98.47
| 98.47
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 12
| 12
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 3.00
| 3.00
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 32
| 32
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 20.80
| 20.80
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 52
| 52
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 54.40
| 54.40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 72
| 72
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 84.60
| 84.60
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 92
| 92
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98.80
| 98.80
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 13
| 13
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 3.51
| 3.51
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 33
| 33
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 22.11
| 22.11
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 53
| 53
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 56.29
| 56.29
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 73
| 73
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 85.69
| 85.69
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 93
| 93
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.09
| 99.09
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 14
| 14
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 4.06
| 4.06
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 34
| 34
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 23.46
| 23.46
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 54
| 54
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 58.14
| 58.14
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 74
| 74
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 86.74
| 86.74
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 94
| 94
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.34
| 99.34
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 15
| 15
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 4.65
| 4.65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 35
| 35
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 24.85
| 24.85
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 55
| 55
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 59.95
| 59.95
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 75
| 75
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 87.75
| 87.75
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 95
| 95
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.55
| 99.55
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 16
| 16
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 5.28
| 5.28
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 36
| 36
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 26.28
| 26.28
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 56
| 56
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 61.72
| 61.72
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 76
| 76
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 88.72
| 88.72
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 96
| 96
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.72
| 99.72
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 17
| 17
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 5.95
| 5.95
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 37
| 37
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 27.75
| 27.75
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 57
| 57
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 63.45
| 63.45
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 77
| 77
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 89.65
| 89.65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97
| 97
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.85
| 99.85
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 18
| 18
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 6.66
| 6.66
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 38
| 38
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 29.26
| 29.26
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 58
| 58
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 65.14
| 65.14
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 78
| 78
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 90.54
| 90.54
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98
| 98
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.94
| 99.94
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 19
| 19
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 7.41
| 7.41
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 39
| 39
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 30.81
| 30.81
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 59
| 59
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 66.79
| 66.79
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 79
| 79
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 91.39
| 91.39
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99
| 99
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.99
| 99.99
|-
|-
{{!}}style="{{Roundbl}}; border:none; background-color:{{Color3}}"{{!}} 20
| style="border-bottom-left-radius: 15px" | 20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 8.20
| 8.20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 40
| 40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 32.40
| 32.40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 60
| 60
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 68.40
| 68.40
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 80
| 80
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 92.20
| 92.20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 100
| 100
{{!}}style="{{Roundbr}}; border:none; background-color:{{Color3}}"{{!}} 100.00
| style="border-bottom-right-radius: 15px" | 100.00
|}
|}


=={{title|Fates}} through {{title|Three Houses}}==
=={{title|Fates}}, {{title|Shadows of Valentia}}, and {{title|Engage}}==
''Fates'' differs from previous entries in the series, introducing a new "hybrid" system between the 1 RN and 2 RN hit rate systems. If the displayed hit rate is lower than 50%, the game will only roll one random number to determine if attacks land. If the hit rate is 50% or higher, the game will still roll for two random numbers, but instead of averaging the two, one of them is weighted more than the other, as shown below:<ref name="reddit">{{Cite web|author=u/dee-ee|published=January 9, 2019|retrieved=April 16, 2019|url=https://www.reddit.com/r/fireemblem/comments/ae5666/echoes_absolutely_uses_fates_rn_bonus_explanation/|title=Echoes absolutely uses Fates RN (bonus explanation as to how Fates RN works)|site=Reddit}}</ref>
''Fates'' introduced a new "hybrid" system between the 1 RN and 2 RN hit rate systems, and two subsequent games—''Shadows of Valentia'' and ''Engage''—have used it as well. If the displayed hit rate is lower than 50%, the game will use the 1 RN system where Displayed Hit equals True Hit; if the hit rate is 50% or higher, the game rolls a single random number, but it is compared against the below mathematical function:<ref name="reddit">{{Cite web|author=u/dee-ee|published=January 9, 2019|retrieved=April 16, 2019|url=https://www.reddit.com/r/fireemblem/comments/ae5666/echoes_absolutely_uses_fates_rn_bonus_explanation/|title=Echoes absolutely uses Fates RN (bonus explanation as to how Fates RN works)|site=Reddit}}</ref>


{| style="{{round}}; border: 1px solid {{Color2}}; background: {{Color1}}; font-size: 85%"
{| class="calculation"
!style="{{roundtl}}; border: 1px solid {{Color2}}; background: {{Color3}}" | Game
! style="border-top-left-radius: 15px" | Game
!style="border: 1px solid {{Color2}}; background: {{Color3}}" | Formula
| Formula
!style="{{roundtr}}; border: 1px solid {{Color2}}; background: {{Color3}}" | Notes
! style="border-top-right-radius: 15px" | Notes
|-
|-
|style="{{roundbl}}; border: 1px solid {{Color2}}; background: {{Color3}}; text-align: center" | {{title|Fates}}
| style="border-bottom-left-radius: 15px" | {{title|Fates}}, {{title|Shadows of Valentia}},<ref name="reddit"/> {{title|Engage}}<ref>{{Cite web|url=https://twitter.com/DeathChaos25/status/1618764222061756417|author=@DeathChaos25|title=DeathChaos on Twitter|site=Twitter|published=January 26, 2023|retrieved=January 27, 2023}}</ref><!--sin in tweet expects radians-->
!style="border: 1px solid {{Color2}}; background: {{Color3}}" |'''True hit rate:''' ([[Hit rate]] × 100) + ((40 / 3) × Hit rate × sin((0.02(Hit rate) - 1) × 180)
! ([[Hit rate]] × 100) + (40 / 3) × Hit rate × sin((0.02(Hit rate) 1) × 180)
|style="{{roundbr}}; border: 1px solid {{Color2}}; background: {{Color3}}; text-align: center" | If True Hit < Hit rate, attack lands.
| style="border-bottom-right-radius: 15px" | Hits if < random number 0–9999.<br>Sine function expects degree input.
|}
|}


Compared to the previous 1 RN and 2 RN systems, higher hit rates are more reliable than in a 1 RN environment, but not to the extent of in a 2 RN environment. The net result compared to the previous true hit system is sub-50% hit rates being more likely to hit, making avoiding less reliable, while super-50% hit rates are less reliable than before. Enemies with typically low accuracy such as [[Berserker]]s are made more threatening by this change, as it is harder to avoid their highly damaging attacks.
The result of this system makes hit rates above 50% higher than the displayed hit, but slightly lower than hit rates in the 2 RN system. Meanwhile Hit Rates below 50% are higher than the usual 2 RN system, making dodging less reliable than in some other games. This makes enemy classes such as [[Berserker]]s more threatening, as their attacks are harder to avoid than what may be expected.


The following table shows the discrepancies:<ref name="reddit"/>
The following table shows the effected hit rates:<ref name="reddit"/>


{|width="80%" class="cellpadding-3 mw-collapsible mw-collapsed" align=center style="border-spacing: 4px; {{round}}; border:2px solid {{Color2}}; background-color: {{Color1}}; text-align: center"
{| class="cellpadding-3 mw-collapsible mw-collapsed basic" style="border-spacing: 4px; border-width: 2px; width: 80%"
!style="{{roundtl}}; border:none" width="100%" colspan="13"|Displayed [[hit rate]] vs. actual hit rate (for hit rates 50% and above)
! style="background: none" colspan="13" | Displayed [[hit rate]] vs. actual hit rate (for hit rates 50% and above)
|-
|-
!style="{{Roundtl}}; border:none; background-color:{{Color3}}| Hit rate
! style="border-top-left-radius: 15px" | Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="border:none; background-color:{{Color3}}| True hit
! True hit
!style="border:none; background-color:{{Color3}}| Hit rate
! Hit rate
!style="{{Roundtr}}; border:none; background-color:{{Color3}}| True hit
! style="border-top-right-radius: 15px" | True hit
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 50
| 50
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 50
| 50
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 60
| 60
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 64.70
| 64.70
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 70
| 70
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 78.87
| 78.87
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 80
| 80
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 90.14
| 90.14
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 90
| 90
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97.05
| 97.05
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 51
| 51
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 51.42
| 51.42
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 61
| 61
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 66.18
| 66.18
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 71
| 71
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 80.16
| 80.16
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 81
| 81
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 91.04
| 91.04
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 91
| 91
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97.50
| 97.50
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 52
| 52
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 52.86
| 52.86
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 62
| 62
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 67.65
| 67.65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 72
| 72
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 81.42
| 81.42
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 82
| 82
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 91.89
| 91.89
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 92
| 92
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97.90
| 97.90
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 53
| 53
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 54.32
| 54.32
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 63
| 63
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 69.12
| 69.12
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 73
| 73
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 82.65
| 82.65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 83
| 83
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 92.69
| 92.69
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 93
| 93
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98.27
| 98.27
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 54
| 54
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 55.79
| 55.79
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 64
| 64
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 70.57
| 70.57
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 74
| 74
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 83.84
| 83.84
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 84
| 84
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 93.45
| 93.45
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 94
| 94
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98.61
| 98.61
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 55
| 55
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 57.26
| 57.26
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 65
| 65
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 72.01
| 72.01
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 75
| 75
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 85.00
| 85.00
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 85
| 85
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 94.16
| 94.16
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 95
| 95
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98.91
| 98.91
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 56
| 56
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 58.74
| 58.74
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 66
| 66
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 73.43
| 73.43
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 76
| 76
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 86.11
| 86.11
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 86
| 86
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 94.83
| 94.83
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 96
| 96
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.18
| 99.18
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 57
| 57
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 60.23
| 60.23
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 67
| 67
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 74.82
| 74.82
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 77
| 77
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 87.18
| 87.18
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 87
| 87
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 95.45
| 95.45
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 97
| 97
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.42
| 99.42
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 58
| 58
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 61.72
| 61.72
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 68
| 68
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 76.20
| 76.20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 78
| 78
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 88.21
| 88.21
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 88
| 88
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 96.03
| 96.03
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 98
| 98
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.63
| 99.63
|-
|-
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 59
| style="border-bottom-left-radius: 15px" | 59
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 63.21
| 63.21
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 69
| 69
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 77.55
| 77.55
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 79
| 79
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 89.20
| 89.20
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 89
| 89
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 96.56
| 96.56
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99
| 99
{{!}}style="border:none; background-color:{{Color3}}"{{!}} 99.82
| style="border-bottom-right-radius: 15px" | 99.82
|}
|}



Latest revision as of 04:15, 3 October 2023

This article uses a conjectural title. It is unknown if an official title for the subject of this article exists, so it has been given an appropriate title by its editors. If you can find an official title for this subject, please move this article to the official title, and provide an appropriate source for that title.

True hit, also referred to as 2RN (short for "two random numbers"), is a calculation that determines whether or not a unit's attack will hit their opponent. As its name suggests, true hit differs from the displayed hit rate.

Shadow Dragon & the Blade of Light through Thracia 776

All games up to Thracia 776 do not use true hit; the displayed hit rate is the same as the actual hit rate. The game will only roll for one random number from 0 to 99, and if this random number is less than the hit rate, the attack will land. This is colloquially called "1RN" ("one random number").

The Binding Blade through Awakening and Three Houses

True hit was first introduced in The Binding Blade and is featured in every game following up to and including Awakening. It was absent in Fates and Shadows of Valentia, which instead use a "hybrid" system, before returning in Three Houses.[1] In these games, instead of rolling just one random number, the game will instead roll two. These two random numbers are then averaged, and this resulting average is what is compared to the displayed hit rate; if the average number is less than the hit rate, the attack will land.

As a result of this double random number system, the likelihood of landing hit rates below 50% is lower than what is shown, while the likelihood of landing hit rates above 50% is higher than what is shown. In effect, this makes higher hit rates more reliable than in previous games, and makes lower hit rates even more likely to miss, making avoiding attacks more reliable. Classes with high avoid such as Swordmasters benefit greatly from this, as opponents will naturally have low hit rates against them already.

The following table shows the discrepancies:[2]

Note that in The Binding Blade, due to an error in how random numbers are generated, the actual hit rates are slightly lower, resulting in the possibility of missing attacks with a displayed hit of 100.
Displayed hit rate vs. actual hit rate
Hit rate True hit Hit rate True hit Hit rate True hit Hit rate True hit Hit rate True hit
0 0.00 20 8.20 40 32.40 60 68.40 80 92.20
1 0.03 21 9.03 41 34.03 61 69.97 81 92.97
2 0.10 22 9.90 42 35.70 62 71.50 82 93.70
3 0.21 23 10.81 43 37.41 63 72.99 83 94.39
4 0.36 24 11.76 44 39.16 64 74.44 84 95.04
5 0.55 25 12.75 45 40.95 65 75.85 85 95.65
6 0.78 26 13.78 46 42.78 66 77.22 86 96.22
7 1.05 27 14.85 47 44.65 67 78.55 87 96.75
8 1.36 28 15.96 48 46.56 68 79.84 88 97.24
9 1.71 29 17.11 49 48.51 69 81.09 89 97.69
10 2.10 30 18.30 50 50.50 70 82.30 90 98.10
11 2.53 31 19.53 51 52.47 71 83.47 91 98.47
12 3.00 32 20.80 52 54.40 72 84.60 92 98.80
13 3.51 33 22.11 53 56.29 73 85.69 93 99.09
14 4.06 34 23.46 54 58.14 74 86.74 94 99.34
15 4.65 35 24.85 55 59.95 75 87.75 95 99.55
16 5.28 36 26.28 56 61.72 76 88.72 96 99.72
17 5.95 37 27.75 57 63.45 77 89.65 97 99.85
18 6.66 38 29.26 58 65.14 78 90.54 98 99.94
19 7.41 39 30.81 59 66.79 79 91.39 99 99.99
20 8.20 40 32.40 60 68.40 80 92.20 100 100.00

Fates, Shadows of Valentia, and Engage

Fates introduced a new "hybrid" system between the 1 RN and 2 RN hit rate systems, and two subsequent games—Shadows of Valentia and Engage—have used it as well. If the displayed hit rate is lower than 50%, the game will use the 1 RN system where Displayed Hit equals True Hit; if the hit rate is 50% or higher, the game rolls a single random number, but it is compared against the below mathematical function:[3]

Game Formula Notes
Fates, Shadows of Valentia,[3] Engage[4] (Hit rate × 100) + (40 / 3) × Hit rate × sin((0.02(Hit rate) − 1) × 180) Hits if < random number 0–9999.
Sine function expects degree input.

The result of this system makes hit rates above 50% higher than the displayed hit, but slightly lower than hit rates in the 2 RN system. Meanwhile Hit Rates below 50% are higher than the usual 2 RN system, making dodging less reliable than in some other games. This makes enemy classes such as Berserkers more threatening, as their attacks are harder to avoid than what may be expected.

The following table shows the effected hit rates:[3]

Displayed hit rate vs. actual hit rate (for hit rates 50% and above)
Hit rate True hit Hit rate True hit Hit rate True hit Hit rate True hit Hit rate True hit
50 50 60 64.70 70 78.87 80 90.14 90 97.05
51 51.42 61 66.18 71 80.16 81 91.04 91 97.50
52 52.86 62 67.65 72 81.42 82 91.89 92 97.90
53 54.32 63 69.12 73 82.65 83 92.69 93 98.27
54 55.79 64 70.57 74 83.84 84 93.45 94 98.61
55 57.26 65 72.01 75 85.00 85 94.16 95 98.91
56 58.74 66 73.43 76 86.11 86 94.83 96 99.18
57 60.23 67 74.82 77 87.18 87 95.45 97 99.42
58 61.72 68 76.20 78 88.21 88 96.03 98 99.63
59 63.21 69 77.55 79 89.20 89 96.56 99 99.82

References

  1. u/dee-ee, Three Houses absolutely uses 2RN; a technical analysis, Reddit, Published: September 14, 2019, Retrieved: November 14, 2019
  2. True Hit, Serenes Forest, Retrieved: June 2, 2018
  3. 3.0 3.1 3.2 u/dee-ee, Echoes absolutely uses Fates RN (bonus explanation as to how Fates RN works), Reddit, Published: January 9, 2019, Retrieved: April 16, 2019
  4. @DeathChaos25, DeathChaos on Twitter, Twitter, Published: January 26, 2023, Retrieved: January 27, 2023

See also

Game mechanics
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Calculations AttackAttack speedAvoidBonus damageCritical hit (Combination bonusDodgeTriangle Attack) • Hit rate (True hit) • Random number generatorWeapon triangle (Trinity of magic)
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