Suppose that the probability that a duck hunter will successfully hit a duck is 0.40 on any given shot. Suppose also that the outcome of each shot is independent from the others.
a) What is the probability that the first successful hit would be on the fourth shot?
b) What is the probability that it would take at least six shots to hit a duck?
c) What is the probability that the first successful hit would happen during an even-numbered shot?
d) What is the probability that the hunter would have three successful hits in nine
e) What is the probability that the third successful hit would be on the ninth shot?
shots?
f) What is the probability that the hunter would have at least six successful hits in nine shots?