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Statistics / A First Course in Probability 9 / Chapter 2 / Problem 7STE

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

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In a state lottery, a player must choose 8 of the numbers

Chapter 2, Problem 7STE

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QUESTION:

Problem 7STE

In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment that selects 8 of these 40 numbers. Assuming that the choice of the lottery commission is equally likely to be any of the combinations, what is the probability that a player has

(a) all 8 of the numbers selected by the lottery commission?

(b) 7 of the numbers selected by the lottery commission?

(c) at least 6 of the numbers selected by the lottery commission?

Questions & Answers

QUESTION:

Problem 7STE

In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment that selects 8 of these 40 numbers. Assuming that the choice of the lottery commission is equally likely to be any of the combinations, what is the probability that a player has

(a) all 8 of the numbers selected by the lottery commission?

(b) 7 of the numbers selected by the lottery commission?

(c) at least 6 of the numbers selected by the lottery commission?

ANSWER:

Step 1 of 4

From the given problem we have, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment that selects 8 of these 40 numbers.

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