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 a and b are selected at random. The probability that a^(2)+b^(2) is divisible by 7 is

Two non-negative integers x and y are chosen at random with replacement. The probability that x^(2)+y^(2) is divisible by 10, 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.

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,..,5n}. The probability that a^(4)-b^(4) is divisible by 5, is

Two numbers x and y are selected at random from the set {1, 2, 3,… 3n}. Find the probability that x^(2) - y^(2) is divisible by 3.

If a number x is chosen at random from the numbers -2,-1,0,1,2. What is the probability that x^(2)<2?