(i) Find his expected gain. (ii) How much should he pay to play the game if it is to be fair?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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A player tosses two fair coins. He wins
dollar 5 if 2 heads occur, dollar 2 if 1 head
occurs and dollar 1 if no head occurs.
(i) Find his expected gain.
(ii) How much should he pay to play the
game if it is to be fair?
Transcribed Image Text:A player tosses two fair coins. He wins dollar 5 if 2 heads occur, dollar 2 if 1 head occurs and dollar 1 if no head occurs. (i) Find his expected gain. (ii) How much should he pay to play the game if it is to be fair?
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