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 will be on the fourth shot?
b) What is the probability that the third successful hit will be on the ninth shot?
c) What is the probability that the hunter would have three successful hits in nine shots?
d) What is the probability that the hunter would have at least six successful hits in nine shots