Question

probability of a number divisible by 2 or 3

Answer 1

probability is infinite as there are infinite numbers divisible by 2 or 3

Answer 2

A natural number is divisible by 22 or 33, if it is divisible by 66. So, numbers divisible by 66 are {6,12,18,....,966,12,18,....,96}. So there are total 1616 numbers out of which 33 distinct number can be chosen in 16×15×14=n(A)16×15×14=n(A). Also,the total no of ways = 100×99×98=n(S)100×99×98=n(S).

Required probability=n(A)n(S)=41155n(A)n(S)=41155. Hope it helps