What is the probability that the duration is r plays

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In the game of "odd one out" three people each toss a fair coin to see if one of their coins shows a different face from the other two.

a) After one play, what is the probability of some person being the "odd one out?

b) Suppose play continues until there is an "odd one out" what is the probability that the duration is r plays?

c) What is the expected duration of play?

Reference no: EM131796149

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