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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

APPLICATIONS

Slot 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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Chapter 14 Solutions

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