SOLUTION: Five people gather for a dinner party. Compute the probability that no two of them have the same birthday. (Hint: use 365 days for a year).

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Question 1184147: Five people gather for a dinner party. Compute the probability that no two of them
have the same birthday. (Hint: use 365 days for a year).

Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
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Five people gather for a dinner party. Compute the probability that no two of them
have the same birthday. (Hint: use 365 days for a year).
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1-st person has his (or her) birthday at some day of the year.


The probability that the 2-nd person has his (or her) birthday at some other of remaining 364 days is  364%2F365.

The probability that the 3-rd person has his (or her) birthday at some other of remaining 363 days is  363%2F365.

The probability that the 4-th person has his (or her) birthday at some other of remaining 362 days is  362%2F365.

The probability that the 5-th person has his (or her) birthday at some other of remaining 361 days is  361%2F365.


The final probability is  %28364%2F365%29%2A%28363%2F365%29%2A%28362%2F365%29%2A%28361%2F365%29 = 0.9729   (rounded).    ANSWER

Solved.

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See the lesson
    - Coinciding birthdays
in this site.