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.

Find the probability of getting a digit 1 when a die is rolled.

Find the probability of getting a digit 3 when a die is rolled.

Find the probability of getting a digit 5 when a die is rolled.

If a die is thrown then the probability of getting an even number is

Find the probability of each event when a die is rolled once

A die is thrown once. Find the probability of getting a prime number.

A die is thrown once. Find the probability of getting a number lying between 2 and 6.

A fair die is thrown till we get 6, then the probability of getting 6 exactly in even number of turns is -

A die is thrown 4 times. Find the probability of getting at most two 6.

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 _______.