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Get Full Access to A First Course In Probability - 9 Edition - Chapter 4 - Problem 19ste
Get Full Access to A First Course In Probability - 9 Edition - Chapter 4 - Problem 19ste

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# When three friends go for coffee, they decide who will pay ISBN: 9780321794772 63

## Solution for problem 19STE Chapter 4

A First Course in Probability | 9th Edition

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Problem 19STE

Problem 19STE

When three friends go for coffee, they decide who will pay the check by each flipping a coin and then letting the “odd person” pay. If all three flips produce the same result (so that there is no odd person), then they make a second round of flips, and they continue to do so until there is an odd person. What is the probability that

(a) exactly 3 rounds of flips are made?

(b) more than 4 rounds are needed?

Step-by-Step Solution:

Solution :

Step 1 of 2:

Given when 3 coins are flipped, there are 8 cases or  in 3 flips of coin possible outcomes are .

Then the probability when no odd person is there = So the probability when no odd person is there = Our goal is:

a). We need to find the probability of exactly 3 rounds of flips are made.

b). We need to find the probability of more than 4 rounds are needed.

a). The probability of exactly 3 rounds of flips are made is

P( exactly 3 rounds of flips) = P( exactly 3 rounds of flips) = P( exactly 3 rounds of flips) = P( exactly 3 rounds of flips) = 0.04685

Therefore, the probability of exactly 3 rounds of flips are made is 0.04685.

Step 2 of 2

##### ISBN: 9780321794772

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