Question

A carnival game gives players a 10​% chance of winning every time it is played. A...

A carnival game gives players a 10​% chance of winning every time it is played. A player plays the game 10 times. A. Let X be the number of times the player wins in 10 plays. What is the most probable value of​ X?  B. what is the probability that the player will win at least once?

Math   Statistics-And-Probability   
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Answer #1

p = 0.1

n = 10

a) Most probable value of X = E(X) = n * p = 10 * 0.1 = 1

b) P(win at least once) = 1 - P(zero win out of 10)

                                     = 1 - (1 - 0.1)10

                                     = 1 - 0.3487

                                     = 0.6513

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