SOLUTION: What is the probability that out of a group of five people, at least two people have the same birthday? note assume that there are 365 days in a year

Question 1139017: What is the probability that out of a group of five people, at least two people have the same birthday? note assume that there are 365 days in a year
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
Figure out the probability that NONE of the five people have the same birthday, then subtract this result from 1.

Probability than NONE of the five people have the same birthday:

365/365 * 364/365 * 363/365 * 362/365 * 361/365 = 0.9729

Probability that at least two people have the same birthday:

1 - 0.9729 = 0.0271, or 2.71%. (That's about a 1 in 37 chance.)
RELATED QUESTIONS
In a group of 8 people, what is the probability that at least 2 persons have the same... (answered by ikleyn)

Assume 365 days per year. If 15 people are selected at random, what is the probability... (answered by ikleyn)

In a room full of 30 people, what is the probability that at least two people have the... (answered by Edwin McCravy)

assume there are 365 days in a year, from a group of 4 random people a) what is the... (answered by ikleyn)

What is the probability that there are at least two people with the same birthday in a... (answered by Shin123,math_helper)

How many people would you have to have in a group so that there is a probability of at... (answered by Boreal)

How many people would you have to have in a group so that there is a probability of at... (answered by ikleyn)

in a group of n people (n<365) what is the probability two people have the same birthday... (answered by stanbon)

In a group of 30 people, what is the probability that at least 2 people will have the... (answered by Paul,JWG)