Challenging Probability problem 3

A room contains n randomly chosen people. Assume that a randomly chosen person is equally likely to have been born on any day of the 365 days in a year. Find the smallest value of n such that the people in the room were all born on different days of the year is less than 0.5.

Answer: 23

Solution

prob 365

Using TI 84 Plus (OS 2.55)

gc table

Therefore, smallest value of n =23

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