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This is a probability question from Math 370 A casino gamer is playing a slot machine. The chance that any given play on the slot

This is a probability question from Math 370

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A casino gamer is playing a slot machine. The chance that any given play on the slot machine results in a win is constant, and is independent from the results of any other plays on the machine. The expected number of times that the gamer will need to play the slot machine to get her first win is equal to 6. Find the probability that the gamer gets a win in 8 or fewer plays of the machine

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