Question

A Martian year is 669 Martian Days long.

(a) Out of a randomly selected group of N Martians compute the approximate probability that none of them share the same birthday. Hint: Your answer should involve e.

(b) Using the formula from Part (a) estimate the smallest value of N so that the probability that at least two Martians in a group of N share the same birthday is greater than 90%. Hint: Your answer should involve natural log.

Please write neatly as I have difficulty reading sloppy handwriting. The more detail the better :) Thanks xx

Answer 1