(a) Explanation Given: Six numbers are picked between 1 and 49 and a bonus number. Explanation: Consider the experiment of picking six numbers between 1 and 49 and a bonus number. Assume that E represents the event of correctly guessing three of the six numbers. The number of elements in the sample space will be equal to the number of ways of picking six numbers from 1 to 49. That is, n ( S ) = C ( 49 , 6 ) = 49 ! 6 ! × ( 49 − 6 ) ! = 49 × 48 × 47 × 46 × 45 × 44 × 43 ! 6 × 5 × 4 × 3 × 2 × 1 × 43 ! = 13 , 983 , 816 The number of elements in the event E will be equal to the product of the number of ways of picking three numbers from six jackpot numbers and the number of ways of picking three numbers from remaining 49 − 7 = 42 numbers (b) To determine The probability of winning the sixth prize of $5 by correctly guessing two out of six numbers from 1 to 49 plus the bonus number.

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

11th Edition

ISBN: 9780133886818

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8.3, Problem 71E

(a)

To determine

The probability of winning the fifth prize of $10 by correctly guessing three out of six numbers from 1 to 49.

(b)

To determine

The probability of winning the sixth prize of $5 by correctly guessing two out of six numbers from 1 to 49 plus the bonus number.

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Chapter 8.3, Problem 70E

Chapter 8.3, Problem 72E

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Chapter 8 Solutions

Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)

Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - In Exercises 112, evaluate the factorial or...Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 1-12, evaluate the factorial or...

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The probability of winning the fifth prize of $10 by correctly guessing three out of six numbers from 1 to 49.

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