SOLUTION: The probability that Pete will catch fish on a particular day when he goes fishing is .8. Pete is going fishing 3 days next week. The probability that Pete will catch fish on two o

Question 602771: The probability that Pete will catch fish on a particular day when he goes fishing is .8. Pete is going fishing 3 days next week. The probability that Pete will catch fish on two or more days is?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
this is a binomial problem, he either catches fish or doesn't ___ the two probabilities sum to one

c = probability of catching = .8 ___ n = probability of not catching = .2

the binomial is raised to the 3rd power (3 days)

(c + n)^3 = c^3 + 3c^2n + 3cn^2 + n^3

for 2 or more days, the first two terms (with c^3 and c^2 are added)
___ P(≥ 2 days) = .8^3 + 3 * .8^2 * .2 = .512 + .384
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