Question

A two digit number is to be formed from the digits 0,1,2,3,4,
without repetition of the digits. Find the probability that the number so
formed is a prime number

Answer 1

The sample space,
S = {10,12,13,14,20,21,23,24,30,31,32,34,40,41,42,43}
∴ n(S) = 16
Let A be the event that the number is a prime.
∴ A = {13,23,31,41,43}
∴ n(A) = 5
∴ `P(A) = (n(A))/(n(S)) = 5/16`