A player of a video game is confronted with a series of opponents and has 60% probability of defeating each one. Success with any opponent is independent of previous encounters. Until defeated, the player continues to contest opponents. a) What is the probability distribution function of the number of opponents contested in a game? b) What is the probability that a player defeats at most two opponents in a game? c) What is the expected number of opponents contested in a game? d) What is the probability that a player contests two or more opponents in a game?

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