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What are the chances of 3 people in an office of 6 having the same birthday?
Wiki User
∙ 12y ago
The probability that there will be 3 people born on one birthday, and 3 people born on a different birthday is 1x(1/365)2 x (364/365)3 as it doesn't matter which birthday is the one being shared. This number then needs to be multiplied by the number of possible ways the people can be arranged. For example it could be persons a, b and c sharing a birthday, or it could be persons c, e and f. The number of ways they can be arranged is 20, so multiply by 20 and we get 0.00014889. Thus there is a 0.014889% chance that an office of 6 people will have 3 who share a birthday.
Wiki User
∙ 12y ago
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