In a group of 5 people, what is the probability that they all have different birthdays?...

Question

Question

In a group of 5 people, what is the probability that they all have different birthdays? [Assume that each is equally likely t

Answer 1

Answer #1

The first person can be born on any date of the year The second person can be born on any of the remaining 364 dates for the

So, probability that the first 2 people have different birthdays L 364 364 = 1*— =- 365 365 The third person can be born on a

The fourth person can be born on any of the remaining 362 dates for the first 4 people to have different birthdays So, probab

The fifth person can be born on any of the remaining 361 days for the 5 people to have different birthdays So, probability th

Answer 2

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