(solution) Random incidence in the Bernoulli process. Your cousin has been playing the same video game from…

(solution) Random incidence in the Bernoulli process. Your cousin has been playing the same video game from…

Random incidence in the Bernoulli process. Your cousin has been playing the same video game from time immemorial. Assume that he wins each game with probability p. independent of the outcomes of other games. At midnight, you enter his room and witness his losing the current game. What is the PMF of the number of lost games between his most recent win and his first future win?