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A ping pong ball is drawn at random from an urn consisting of balls numbered 2 t

ID: 3051832 • Letter: A

Question

A ping pong ball is drawn at random from an urn consisting of balls numbered 2 through 10. A player wins 1 dollar if the number on the ball is odd and loses 1 dollar if the number is even. What is the expected value of his winnings? Express your answer in fraction form. Preview A card is drawn at random from a standard deck of playing cards (no jokers). If it is red, the player wins 1 dollar; if it is black, the player loses 2 dollars. Find the expected value of the game. Express your answer in fraction form. Preview Points possible: 1 License Unlimited attempts. Message instructor about this questiona

Explanation / Answer

Answer - 1: P(Winning) = P(Odd Number) = 4/9

Hence,

Expected value = 1(4/9) - 1(5/9) = -1/9

Answer - 2: P(Winning) = P(Red) = 1/2

Hence,

Expected value = 1(1/2) - 2(1/2) = -1/2

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