Xeviat
Hero
Hi everyone. Can someone check my math? I fiddled with the formula on this until I got it working, and it seems to match up to me doing the math long-hand.
For a 1 minute duration spell with a save at the end of each of the creature's turns, how long should a spell last with a given percent chance to fail a save?
The formula I ended up using was (chance to fail^rounds)*(1-chance to fail) to determine the percent chance of it lasting each of the given number of rounds, then it was rounds*chance all summed together to get these.
Did I get it right?
For a 1 minute duration spell with a save at the end of each of the creature's turns, how long should a spell last with a given percent chance to fail a save?
Failure% | Average Rounds |
0 | 0 |
5 | 0.05 |
10 | 0.11 |
15 | 0.18 |
20 | 0.25 |
25 | 0.33 |
30 | 0.43 |
35 | 0.54 |
40 | 0.67 |
45 | 0.82 |
50 | 1 |
55 | 1.22 |
60 | 1.49 |
65 | 1.83 |
70 | 2.27 |
75 | 2.83 |
80 | 3.57 |
85 | 4.55 |
90 | 5.86 |
95 | 7.62 |
100 | 10 |
The formula I ended up using was (chance to fail^rounds)*(1-chance to fail) to determine the percent chance of it lasting each of the given number of rounds, then it was rounds*chance all summed together to get these.
Did I get it right?