Two natural numbers x and y are chosen at random. What is the probability that `x^(2) + y^(2)` is divisible by 5?

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.

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is

An integer is chosen at random from 1 to 50. Find the probability that the number is: divisible by 5

Two non negative integers are chosen at random. The probability that the sum of the square is divisible by 10, is

A bag contains 16 cards 1, 2, 3, ……., 16 respectively. One card is chosen at random. What is the probability that the chosen card bears a number which is divisible by 3.

Three numbers are chosen at random from 1 to 20 .The probability that they are consecutive is

Two positive real numbers x and y satisfying xle1 and yle1 are chosen at random. The probability that x+yle1 , given that x^2+y^2le(1)/(4) , is

Out of 40 consecutive natural numbers two numbers are chosen at random .Probability that the sum of numbers is odd is

From the set {1,2,3,4,5} two numbers a and b (a != b) are chosen at random . The probability that a/b is an integar is

Out of 20 consecutive numbers, two are chosen at random, the probability that their sum is odd is