Consider a slot machine with 3 wheels (reels). Each reel has 10 slots, 0, 1, ..., 9. Suppose you have a win if the 3 slots match (0-0-0, 1-1-1, ..., 9-9-9). You decided to play until you win 3 times. The machine says that your chances of matching the 3 slots is 59%. What is the minimum number of tries you will need to win 3 times?

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Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.