Considering a group of 40 people, there are 89% chances that two of them are born the same day.
The chances that all of those 40 people are born on different days are:
364 363 362 ... 326
--- x --- x --- x --- x --- x 100 = 10.88 %
365 365 365 365 365
Thus, the chances that two of them are born the same day are higher than 89%.
If one considers 57 people, chances are less than 1% that they are born on different days, hence, chances that two of them are born on the same day are higher than 99%.
NOTE: We are not taking the year of birth into consideration. People born on july 4th 1980 and july 4th 2000 are considered to have the same birthday.
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