Show that the solution to the birthday problem in Example 5 can be written in the form

For a calculator that has a _nP_r function, explain why this form may be better for direct evaluation than the other form used in the solution to Example 5. Try direct evaluation of both forms on a calculator for n = 25.

Data from Example 5

In a group of n people, what is the probability that at least 2 people have the same birthday (same month and day, excluding February 29)? Make a guess for a class of 40 people, and check your guess with the conclusion of this example.

Transcribed Image Text:

P(E) = 1 - 365Pn 365"