Two numbers `a ,b` are chosen from the set of integers 1, ,2 3, ..., 39. Then probability that the equation `7a-9b=0` is satisfied is

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.

Two number a and b are 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 x and y are chosen at random (without replacement) from among the numbers 1,2,3,...,2004. The probability that x^3+y^3 is divisible by 3 is (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/4

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is 1/(85) . Statement-2: If the four chosen numbers form an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}. (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the chosen number is 3 or their maximum is 7 , is:

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.

Three numbers are chosen at random without replacement from {1,2,3, …8}. The probability that their minimum is 3, given that their maximum is 6, 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.

Two consecutive drawings of a digit are made at random from the ten digits 0, 1, 2, …, 9. Find the probability that the product of the chosen digits is zero, given that the first drawn digit is replaced before the second drawing.