Two numbers are selected at random from 1 , 2,3….,100 and are multiplied. Find the- probability that the product thus obtained is divisible by 3.

Two number are selected at random from 1,2,3,… 100 and are multiplied. Find the probability that the product thus obtained is divisible by 3.

Two integers are chosen at random and multiplied. Find the probability that the product is an even integer.

If two numbers a and b are-chosen at random from the 1st 30 natural numbers, find the probability that the expresion (a^2 -b^2) is divisible by 3.

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

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 two numbers are selected at random from the numbers 1,2,3,4 determine the probability that their sum is odd when they are selected together.

A number is chosen at random from the first 50 positive integers. Find the probability that the chosen number is divisible by 4 or 5.

If two numbers are selected at random from the numbers 1, 2, 3, 4 determine the probabilities that their sum is odd when they are selected (a) together (b) one by one with replacement.

Two dice are thrown simultaneously. Find the probability that the sum of the numbers obtained will be 10.

Two dice are thrown simultaneously. Find the probability that the sum of the numbers obtained will be 10.