An unbiased die is such that probability of number `n` appearing is proportional to `n^2(n=1,2,3,4,5,6)dot` The die is rolled twice, giving the numbers `aa n db` . Then find the probability that `a< b`

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 _______.

A die is rolled. If it shows an odd number, then find the probability of getting 5.

A die is rolled. What is the probability that the number appearing on upperface is less than 3?

A die is loaded so that the probability of a face i is proportional to i ,i=1,2, 6. Then find the probability of an even number occurring when the die in rolled.

The faces of a die bear numbers 0,1,2,3,4,5,. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.

An unbiased dice, with faces numbered 1, 2, 3, 4, 5, 6, is thrown n times and the list of n numbers shown up is noted. Then find the probability that among the numbers 1, 2, 3, 4, 5, 6 only three numbers appear in this list and each number appears at least once.

An unbiased dice, with faces numbered 1,2,3,4,5,6, is thrown n times and the list of n numbers shown up is noted. Then find the probability that among the numbers 1,2,3,4,5,6 only three numbers appear in this list.

An unbiased die is thrown. What is the probability of getting (i) an even number or a multiple of 3 . (ii) a number between 3 and 6.

A bag contains n balls, one of which is white. The probability that Aa n dB speak truth are P_1a n dP_2, respectivley. One ball is drawn from the bag and Aa n dB both assert that it is white. Find the probability that drawn ball is actually white.