Question: Author’s Slot Machine

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

a. Find the probability of exactly two jackpots in five trials.

b. Fine the probability of at least two jackpots in five trials.

c. Does the guest’s claim of two jackpots in five trials seem valid? Explain.