A casino game works as follows: You have to pay $6 to play. Then you flip a fair coin and roll a fair six-sided die. If the outcome of the flip and roll is a head and the top of the die is an an odd number, you are given $12 If the outcome is a tail and an odd number, you are given $6, for any other outcome, you are not given any money. Consider the random variable X, defined as the net amount (amount won minus cost to play) that you win in one play of this game. Calculate E(X), and interpret this number in context. Show your calculations.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A casino game works as follows: You have to pay $6 to play. Then you flip a fair coin and roll a fair
six-sided die. If the outcome of the flip and roll is a head and the top of the die is an an odd
number, you are given $12. If the outcome is a tail and an odd number, you are given $6; for any
other outcome, you are not given any money. Consider the random variable X, defined as the net
amount (amount won minus cost to play) that you win in one play of this game.
Calculate E(X), and interpret this number in context. Show your calculations.
Transcribed Image Text:A casino game works as follows: You have to pay $6 to play. Then you flip a fair coin and roll a fair six-sided die. If the outcome of the flip and roll is a head and the top of the die is an an odd number, you are given $12. If the outcome is a tail and an odd number, you are given $6; for any other outcome, you are not given any money. Consider the random variable X, defined as the net amount (amount won minus cost to play) that you win in one play of this game. Calculate E(X), and interpret this number in context. Show your calculations.
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