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Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.3 - Problem 14bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.3 - Problem 14bsc

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# Win 4 Lottery In the New York State Win 4 lottery, you

ISBN: 9780321836960 18

## Solution for problem 14BSC Chapter 5.3

Elementary Statistics | 12th Edition

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Problem 14BSC

Problem  14BSC

Win 4 Lottery In the New York State Win 4 lottery, you place a bet by selecting four digits. Repetition is allowed, and winning requires that your sequence of four digits matches the four digits that are later drawn. Assume that you place one bet with a sequence of four digits.

a. Use the multiplication rule to find the probability that your first two digits match those drawn and your last two digits do not match those drawn. That is, find P(MMXX), where M denotes a match and X denotes a digit that does not match the winning number.

b. Beginning with MMXX, make a complete list of the different possible arrangements of two matching digits and two digits that do not match, then find the probability for each entry in the list.

c. Based on the preceding results, what is the probability of getting exactly two matching digits when you select four digits for the Win 4 lottery game?

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Solution 14BSC

=0.0486

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