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 more than 4 rounds of flips are needed to determine who will pay the check?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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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 more than 4 rounds of flips
are needed to determine who will pay the check?
Transcribed Image Text: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 more than 4 rounds of flips are needed to determine who will pay the check?
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