3. You and a friend are tossing two fair coins. If both coins show heads, you win $2, if both show tails, you win $1, and if the coins don't match, you lose $1 (i.e. win –$1). Let X be your winnings after a single play of the game. Find the probability distribution of X. Also find the expected value of х.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 9CC: a Suppose that a game gives payouts a1,a2,...,an with probabilities p1,p2,...pn. What is the...
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3. You and a friend are tossing two fair coins. If both coins show heads, you win $2, if both show tails,
you win $1, and if the coins don't match, you lose $1 (i.e. win –$1). Let X be your winnings after
a single play of the game. Find the probability distribution of X. Also find the expected value of
х.
Transcribed Image Text:3. You and a friend are tossing two fair coins. If both coins show heads, you win $2, if both show tails, you win $1, and if the coins don't match, you lose $1 (i.e. win –$1). Let X be your winnings after a single play of the game. Find the probability distribution of X. Also find the expected value of х.
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