I thought I had the math for Blade Cascade all worked out, but something has come to light that makes me doubt the result.
I was calculating it's damage by working out the chance of each result:
Miss Chance
Hit Chance x Miss Chance
Hit Chance x Hit Chance x Miss Chance
Hit Chance x Hit Chance x Hit Chance x Miss Chance
Hit Chance x Hit Chance x Hit Chance x Hit Chance x Miss Chance
Hit Chance x Hit Chance x Hit Chance x Hit Chance x Hit Chance
------------------------------------
Sum of the probabilities above
My problem is that the sum of the probability of every result does not equal 1...and I'm pretty sure that when you look at chance of every event occuring and add them together, they're supposed to total 1.
So either my math is wrong, or I've missed a possible outcome, or they don't need to total 1....which is it?
I was calculating it's damage by working out the chance of each result:
Miss Chance
Hit Chance x Miss Chance
Hit Chance x Hit Chance x Miss Chance
Hit Chance x Hit Chance x Hit Chance x Miss Chance
Hit Chance x Hit Chance x Hit Chance x Hit Chance x Miss Chance
Hit Chance x Hit Chance x Hit Chance x Hit Chance x Hit Chance
------------------------------------
Sum of the probabilities above
My problem is that the sum of the probability of every result does not equal 1...and I'm pretty sure that when you look at chance of every event occuring and add them together, they're supposed to total 1.
So either my math is wrong, or I've missed a possible outcome, or they don't need to total 1....which is it?