The author purchased a slot machine configured so that there is a 1/2000 probability of winning the jackpot on any individual trial. Although no one would seriously consider tricking the author, suppose that a guest claims that she played the slot machine 5 times and hit the jackpot twice.

a. Find the probability of exactly 2 jackpots in 5 trials.

b. Find the probability of at least 2 jackpots in 5 trials.

c. Does the guest’s claim of hitting 2 jackpots in 5 trials seem valid? Explain.