What are the chances that at least two out of a group of
fifty people share the same birthday?






What are the chances that at least two out of a group of fifty people share the same birthday?..

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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