   Chapter 9.8, Problem 21ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# A person pays $1to play the following game. The person tosses a fair coin four time. If no head occurs, the person just loses the initial dollar, if three heads occur, the person pays an additional$2, if one head occurs, the person just loses the initial dollar, if three heads occur, the person wins $4. What is the person’s expected gain or loss? To determine To find the expected gain or loss. Explanation Given information: The person pays$1 to play the game of tossing a fair coin four times and the following cases occur-

No head -pays an additional $2. One head-pays an additional$1.

Two heads-just loses the initial dollar.

Three heads-wins $3 Four heads-wins$4

Calculation:

Sample space for a fair coin to be tossed four times

{TTTT,TTTH, TTHT, THTT, HTTT,TTHH, THTH, HTHT, HHTT, THHT, HTTH,THHH, HTHH, HHTH, HHHT,HHHH}

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