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- a Suppose that a game gives payouts a1,a2,...,an with probabilities p1,p2,...pn. What is the expected value of this game? b You get 10 if you pick an ace from a deck, and you must pay 2 if you pick any other card. What is your expected value?a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an event E in a sample space S in which all outcomes are equally likely. d What is the probability of the complement of E? e If a coin is tossed three times, what is the probability of getting all heads? At least one tail?