Mathematics, 14.03.2020 04:50 amanquen35
Suppose n people, n ≥ 3, play "odd person out" to decide who will buy the next round of refreshments. The n people each flip a fair coin simultaneously. If all the coins but one come up the same, the person whose coin comes up different buys the refreshments. Otherwise, the people flip the coins again and continue until just one coin comes up different from all the others. a) What is the probability that the odd person out is decided in just one coin flip? b) What is the probability that the odd person out is decided with the kth flip? c) What is the expected number of flips needed to decide odd person out with n people?
Answers: 2
.
th round: 
.
.
heads and 
tail, orThere are 
chance of landing on the head and a 
coin-tosses. The chance of getting 
heads out of 
.The chance of getting 
.
would be the chance that either of them will occur. That's the same as the chance of determining the "odd" person in one round.
of getting a success in each round is the same, the geometric distribution would give the probability of getting the first success (that is, to find the "odd" person) in the 
. That's the same as the probability of getting one success after 
unsuccessful attempts. 
. Therefore, the probability of succeeding on round 
.
.
. 
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Suppose n people, n ≥ 3, play "odd person out" to decide who will buy the next round of refreshments...
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