Question

Probability: What is the chances of hitting an alien at least once if N soldiers have a p1, p2 and p3 percent change of hitting the alien at least once. For example...

I have three soldiers that are about to shoot at one alien. The first has a 45% chance of hitting the alien, the second has a 50% chance, the third has a 60% chance. What is the chance that at least one of the soldiers will hit the alien?

This is for a video game, by the way; XCOM: Enemy Unknown

Answer 1

the probabilities are independent, i assume.
if so, 1 - p(all miss)

Answer 2

p(all miss) = p(a misses)*p(b misses)*p(c misses)

Answer 3

get it?

Answer 4

I think so...so in the example, the probability would simply be 1-(.5*.45*.6)...correct?

Answer 5

yep

Answer 6

Awesome; thanks for your help!

Answer 7

you're welcome