Time to earn that Numba Cruncha title:
Inaccurate pass calc (step-by-step):
First the table:
Code: Select all
3333333
3abcba3
3bzyzb3
3cyXyc3
3bzyzb3
3abcba3
Okay then we map it out roll by roll
1st scatter odds of going to:
Y: 50%
Z: 50%
2nd scatter odds of going:
Y to X: 12.5%
Y to Z: 25%
Y to Y: 25%
Y to B: 25%
Y to C: 12.5%
Z to X: 12.5%
Z to Y: 25%
Z to B: 25%
Z to C: 25%
Z to A: 12.5%
and then the 3rd roll ... odds of going:
X to TZ: 100%
Y to X: 12.5%
Y to TZ (Y or Z): 50%
Y to B,C,A: 37.5%
Z to X: 12.5%
Z to TZ (Y): 25%
Z to B,C,A: 62.5%
A to TZ (Z): 12.5%
A to B,3: 87.5%
B to TZ (Y or Z): 25%
B to A,C,3: 75%
C to TZ (Y or Z): 37.5%
C to B,3: 62.5%
Okay once you have all the possible paths mapped then to calculate any given probability add up the sum of the probability of all the possible path to the result you are looking for:
Sooooo .... Odds that an inaccurate path getting back to the original spot for a catch roll:
Three possible paths:
Y to Z to X: .5*.25*.125 = 1.6%
Y to Y to X: .5*.25*.125 = 1.6%
Z to Y to X: .5*.25*.125 = 1.6% for a total probability of 4.7%
Odds of an inaccurate pass making it to an adjacent square that Diving Catch could be used:
Ten possible paths:
Y to X to TZ: .5*.125*1 = 6.3%
Z to X to TZ: .5*.125*1 = 6.3%
Y to Z to TZ: .5*.25*.25 = 3.1%
Y to Y to TZ: .5*.25*.5 = 6.3%
Z to Y to TZ: .5*.25*.5 = 6.3%
Y to B to TZ: .5*.25*.25 = 3.1%
Y to C to TZ: .5*.125*.375 = 2.3%
Z to A to TZ: .5*.125*.125 = 0.8%
Z to B to TZ: .5*.25*.25 = 3.1%
Z to C to TZ: .5*.25*.375 = 4.7% for a total probability of 42.2%
So that should be a full breakdown on the probability:
A Wood Elf with Catch will catch an inaccurate pass: 4.17% (4.7%*88.9%)
A Wood Elf with Diving Catch will catch an inaccurate pass: 31.3% (46.9%*66.7%)
A Wood Elf with Diving Catch and Catch will catch an inaccurate pass: 41.7% (46.9%*88.9%)
I don't think there are any errors here ... this should be the full break down ... so based on this I don't think that Diving Catch is worthless if you don't have the greatest passer ... he'll catch the ball almost 8 times more than a player that had Catch as his first skill for inaccurate passes.
Galak