Question

Three men flip coins to see who pays for coffee. if all three match (all heads or all tails), they flip again. otherwise, the "odd man" pays for coffee. a what is the probability that they will need to flip the coins more than once

Answer 1

Hello!
Possible outcomes on flipping 3 coins = 27
Probability of flipping 3 heads or HHH = 1/27
Probability of flipping 3 tails or TTT = 1/27
.
The outcome must be all head or tail so they will flip more than one.
Probability(HHH or TTT) = P(HHH) + P(TTT)
P(HHH or TTT) = 1/27 + 1/27
P(HHH or TTT) = 2/27
.
The answer is 2/27.
:)