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

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 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 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.

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

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: