A group of 6 people play the game of “odd person out” to determine who will buy

Question

A group of 6 people play the game of “odd person out” to determine who will buy refreshments. Each person flips a fair coin. If there is a person whose outcome is different from every other person’s outcome, this person has to buy the refreshments. What is the probability that there is an odd person out after the coins are flipped once? A group of 6 people play the game of “odd person out” to determine who will buy refreshments. Each person flips a fair coin. If there is a person whose outcome is different from every other person’s outcome, this person has to buy the refreshments. What is the probability that there is an odd person out after the coins are flipped once? A group of 6 people play the game of “odd person out” to determine who will buy refreshments. Each person flips a fair coin. If there is a person whose outcome is different from every other person’s outcome, this person has to buy the refreshments. What is the probability that there is an odd person out after the coins are flipped once?

Explanation / Answer

Any one can get the different number and its probability is 1/6. So the probability that there is an old person out after the coins are flipped is = 1/6*1/6*1/6*1/6*1/6*1/6=0.00002143. For and we do multiplication in probability.

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