If the probability of chossing an interger "k" out of 2m integers `1,2,3,….,2m` is inversely proportional to `k^(4)(1leklem).Ifx_(1)` is the probability that chosen number is odd and `x^(2)` is the probability that chosen number is even, then

The probability that sin^(-1)(sinx)+cos^(-1)(cosy) is an integer x,y in {1,2,3,4} is

A dice is rolled .If it shows an even number then find the probability of getting 2.

What is the probability of the event that a number chosen from 1 to 100 is a prime number?

If out of 20 consecutive whole numbers two are chosen at random, then find the probability that their sum is odd.

Two integers are selected at random from integers 1 to 11. If the sum is even, find the probability that both the numbers are odd.

An integer is chosen at random and squared. Find the probability that the last digit of the square is 1 or 5.

A dice is weighted such that the probability of rolling the face numbered n is proportional to n^(2) (n = 1, 2, 3, 4, 5, 6). The dice is rolled twice, yielding the number a and b. The probability that a gt b is p then the value of [2//p] (where [ . ] represents greatest integer function) is _______.

Fourteen numbered balls (1, 2, 3, …, 14) are divided in 3 groups randomly. Find the probability that the sum of the numbers on the balls, in each group, is odd.