Let X denote the number of times you have to play a game in order to...
Let X denote the number of times you have to play a game in order to win once. Assume attempts are independent, and that the chance of winning each time you play is p.
(a) Find the probability that X is even (as a function of p). [Hint: You’ll use a geometric series from calculus.]
(b) What happens to your answer to (a) as p → 1?
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Let X denote the number of times you have to play a
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