Chapter 14.4, Problem 18E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# APPLICATIONSSlot Machine A slot machine has three wheels, and each wheel has 11 positions: the digits 0 , 1 , 2 , … , 9 and the picture of a watermelon. When a quarter is placed in the machine and the handle is pulled, the three wheels spin independently and come to rest. When three watermelons show, the machine pays the player $5 ; otherwise, nothing is paid. What is the expected value of this game? To determine The expected value of this game. Explanation Approach: The compliment of the probability is given as, p=1p(1) Here, p is the compliment of the probability and p is the probability. The expected value is given as, E=a1p1+a2p2++anpn(2) Here, a1,a2,,an is the amount of payout and p1,p2,,pn is the probability of payout. Given: A slot machine has three wheels, and each wheel has 11 positions: the digits 0,1,2,,9 and the picture of a watermelon. If the three watermelons show, the machine pays the player$5.

Calculation:

Since there are three wheels in the slot machine and each wheel contain 11 positions, then the total possibility is 1331.

The probability of winning is,

p1=11331

The probability of losing is,

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