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'''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]]. | '''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]]. | ||
Revision as of 08:55, 29 January 2022
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]
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 and Shadows of Valentia
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 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 | (Hit rate × 100) + (40 / 3) × Hit rate × sin((0.02(Hit rate) − 1) × 180) | See Text for details |
The game rolls a single random number between 0 and 9999, and compares the number generated to the formula's result to determine if an attack hits. To see the true hit as a standard percentage, divide the result of the formula by 100.
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 you may be used to.
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
- ↑ u/dee-ee, Three Houses absolutely uses 2RN; a technical analysis, Reddit, Published: September 14, 2019, Retrieved: November 14, 2019
- ↑ True Hit, Serenes Forest, Retrieved: June 2, 2018
- ↑ 3.0 3.1 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