Question

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?

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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