You play a game where you are to guess under which of 4 cups a coin has been placed. how many times would you expect to guess correctly in 20 plays of the game? note that the coin is moved after each play.

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The probability of guessing correctly is 1/4.
The expected numberE(X) of correct guesses in 20 plays is given by:
E(X) = 20 * (1/4) = 5.
The answer is: 5 times.
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