#### 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

#### Solution

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`

Is there an error in this question or solution?

Solution 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 Concept: Sample Space.