Out of (2n+1) tickets consecutively numbered, three are drawn at random. Find the chance that the numbers on them are in AP.

Statement-1: Out of 21 tickets with number 1 to 21, 3 tickets are drawn at random, the chance that the numbers on them are in AP is (10)/(133) . Statement-2: Out of (2n+1) tickets consecutively numbered three are drawn at ranodm, the chance that the number on them are in AP is (4n-10)/ (4n^(2)-1) .

Out of 3n consecutive integers, three are selected at random. Find the probability that their sum is divisible by 3.

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

A person has 21 tickets with numbered 1 to 21. Three tickets are selected from it at random. Find the probability of an event that numbers of selected three tickets are in A.P.

if 6n tickets numbered 0,1,2,....... 6n-1 are placed in a bag and three are drawn out , show that the chance that the sum of the numbers on then is equal to 6n is (3n)/((6n-1)(6n-2))

A bag contains 4 tickets numbered 00, 01, 10 and 11. Four tickets are chosen at random with replacement, the probability that the sum of numbers on the tickets is 22 is

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that All the three balls are white

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the Probability that All the three balls are red

There are 5 cards numbered 1 to 5, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on two cards drawn. Find the mean and variance of X.

Cards marked with numbers 13, 14, 15.....60 are placed in a box and mixed thoroughly. One card is drawn at random from the box Find the probability that the sum of the digits of the number on the card is 5.