SOLUTION: Determine the probability that in a class 23 students, two or more students have birthday on 1 january?

Algebra ->  Probability-and-statistics -> SOLUTION: Determine the probability that in a class 23 students, two or more students have birthday on 1 january?       Log On


   



Question 583477: Determine the probability that in a class 23 students, two or more students have birthday on 1 january?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We know that the famous birthday problem states that for a group of 23 people, there is a ~50% chance that two of them have the same birthday. However we can't say that the probability that two of them have a birthday on 1 January is 50%.

One way to approach this is to say that the probability of any one student having a birthday on 1 January is 1/365 (ignoring leap years). We want two or more students, so the probability is given by

binomcdf(23, 1/365, 2, 23)

=0.00183