Question

Find the probability of a least one birthday match among a group of 44 people.

Answer 1

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%