A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then `k - 20` is equal to

Two consecutive numbers from 1,2,3 …., n are removed.The arithmetic mean of the remaining numbers is 105/4 . The removed numbers

Suppose 10 cards numbered 1 to 10 are placed in a box and shuffled and one card is drawn at random. i. If A is the event that the number on the card is even, then write A. ii. If B is the event that the number on the card is more than 3, find P(A|B)

Six cards are drawn one by one from a set of unlimited number of cards, each card is marked with numbers -1, 0 or 1 . Number of different ways in which they can be drawn if the sum of the numbers shown by them vanishes is

A card is drawn at random from a pack of cards. What ist the probability that the drawn card is neither a heart nor a king?

Two cards are drawn successively with replacement from a pack of 52 cards. Find the probability distribution of the number of aces.

Two cards are drawn with replacement from a well shufflied deck of 52 cards . Find the mean and variance for the number of aces .

Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. then the value of E(X) is