A player tosses two fair coins. He wins $ 5 if 2 heads occur, $ 2 if 1 head occurs and 1 if no head occurs. (i) (ii) Find his expected gain. How much should he pay to play the game if it is to be fair?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
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A player tosses two fair coins. He wins $ 5 if 2 heads occur, $ 2 if 1 head occurs and 1 if no head
occurs.
(i)
(ii)
Find his expected gain.
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 $ 5 if 2 heads occur, $ 2 if 1 head occurs and 1 if no head occurs. (i) (ii) Find his expected gain. How much should he pay to play the game if it is to be fair?
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