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 `a and b` . Then find the probability of a less than 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 coin is tossed n times. Find the probability of odd numbers of heads.

An unbiased die thrown twice find the probability distribution of the number of sixes

If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of n.

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.

A die is rolled thrice, find the probability of getting a larger number each time than the previous number.

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

There unbiased dice are thrown at a time . What is the probability that the number 1 appears at lest once? Given that the number on the first die is 3. What is the probability that the sum of the numbers on the three dice is odd?

If a coin is tossed n times, then find the probability that the head appears odd number of times.

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.