What are the chances that at least two out of a group of
fifty people share the same birthday?
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Answer / guest
The probability of atleast two out of a group of 50 people
share the same birthday is 97%
Probability of atleast two share the same birthday = 1 -
probability of all 50 have different birthdays
Probability of all 50 have different birthday
= 365/365 * 364/365 * 363/365 * ... * 317/365 * 316/365
= (365 * 364 * 363 * 362 * ... * 317 * 316)/36550
= 0.0296264
Probability of atleast two share the same birthday
= 1 - 0.0296264
= 0.9703735
= 97% approx.
Thus, the probability of atleast two out of a group of 50
people share the same birthday is 97%
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