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You go to a casino with 200 slot machines, and in 100 of them players win...

You go to a casino with 200 slot machines, and in 100 of them players win 20% of the time, while in the other 100 of them players win 40% of the time.Suppose you choose one slot machine at random and play 10 times, winning exactly 4 of them. What is the probability that you were playing in a machine where players win 40% of the time?

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