Question

A two digit number is to be formed from the digits 0 ,1 ,2 ,3. Repetition of the digits is allowed. Find the probability that the number formed is divisible by 3​

Answer 1

Sample space

S={10,11,12,13,20,21,22,23,30,31,32,33}

n(S)=12

Event A = {12,21,30,33}

n(A)= 4

p(A)= n(A)/ n(S)

=4/12

=1/3