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.

Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a^(2)-b^(2) is divisible by 3 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

Two numbers a and b are selected from the set of natural number then the probability that a^(2)+b^(2) is divisible by 5 is

A number was chosen at random from the first 300 three digits natural number. Find the probability of it ending with a zero.

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 natural number x is choosen at random from the first hundred natural numbers. Find the probability such that x+ (1)/(x) gt 2