Question

A two digit number is to be formed from the digits 0, 1, 3, 4. Repetition of the digits is allowed. Find the probability that number that formed is a -
(1) prime number (2) multiple of 4
(3) multiple of 11.

Answer 1

Digits are 0,1,3,4

0 can be only at second place total number of two digits number can be formed=3*4-12

1) Prime number that can be formed=11,13,31,41,43

Probability=5/12

2)Multiple of 4 are=40,44

Probability=2/12=1/6

3)Multiple of 11=11,33,44

Probability=3/12=1/4