Two number `aa n db` aer chosen at random from the set of first 30 natural numbers. Find the probability that `a^2-b^2` is divisible by 3.

A number is selected at random from first 200 natural numbers. Find the probability that it is divisible by either 6 or 8.

Three numbers are chosen at random from the first 20 natural numbers. The probability that their product is even is

Three distinct numbers are chosen at random from the first 15 natural numbers. The probability that the sum will be divisible by 3 is

Three numbers are chosen at random from the first 20 natural numbers. The probability that they are not consecutive is

Three natural numbers are taken at random from the set of first 100 natural numbers. The probability that their A.M. is 25, is

Two natural numbers x and y are chosen at random from the set {1,2,3,4,...3n} . find the probability that x^2-y^2 is divisible by 3.

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

If 4 distinct numbers are chosen randomly from the first 100 natural numbers, then the probability that all 4 of them are either divisible by 3 or divisible by 5 is

A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.

Two distinct numbers are selected at random from the first twelve natural numbers. The probability that the sum will be divisible by 3 is :