In a state lottery, four digits are drawn at random one at

Chapter 1, Problem 7E

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QUESTION:

PROBLEM 7E

In a state lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Suppose that you win if any permutation of your selected integers is drawn. Give the probability of winning if you select

(a) 6, 7, 8, 9.

(b) 6, 7, 8, 8.

(c) 7, 7, 8, 8.

(d) 7, 8, 8, 8.

Questions & Answers

QUESTION:

PROBLEM 7E

In a state lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Suppose that you win if any permutation of your selected integers is drawn. Give the probability of winning if you select

(a) 6, 7, 8, 9.

(b) 6, 7, 8, 8.

(c) 7, 7, 8, 8.

(d) 7, 8, 8, 8.

ANSWER:

Answer

Step 1 of 4

Total no. of possibilities=10*10*10*10=10000

a) 6,7,8,9

  No. of possible ways of arranging the numbers=4!

  Probability=4!/10000=0.0024

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