Five non-similar pairs of socks are in a closet. Four socks are selected at random. What is the probability that there will be among the four socks chosen
exactly one complete pair?

Five non-similar pairs of socks are in a closet. Four socks are selected at random. What is the probability that there will be among the four socks chosen no complete pair?

A bag contains twelve pairs of socks and four socks are picked up at random. The probability that there is at least one pair is equal to -

An urn contains three white, six red and four black balls. Two balls are selected at random. What is the probability that one ball is red and other is white, given that they are of different colour ?

Five cards-the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards: One card is selected at random. (i) What is the probability that the card is the queen? (b) If the queen is selected and put aside (without replacement), what is the probability that the second card selected is (a) an ace? (b) a queen?

A drawer contains a mixture of red socks and blue socks, at most 17 in all. It so happens that when two socks are selected randomly without replacement, there is a probability of exactly 1/2 that both are red or blue. The largest possible number of red socks in the drawer that is consistent with this data is _______.

A man has 3 pairs of black socks and 2 pair of brown socks kept together in a box. If he dressed hurriedly in the dark, the probability that after he has put on a black sock, he will then put on another black sock is 1//3 b. 2//3 c. 3//5 d. 2//15

On a multiple choice examination with three possible answers(out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing ?

A drawer contains 5 brown socks and 4 blue socks well mixed a man reaches the drawer and pulls out socks at random. What is the probability that they match? a. 4//9 b. 5//8 c. 5//9 d. 7//12

Column I, Column II The number of five-digit numbers having the product o digit 20 is, p. > 70 A closest has five pairs of shoes. The number of ways in which four shoes can be drawn from it such that there will be no complete pair is, q. <60 Three ladies have each brought their one child for admission to a school. The principal wants to interview the six persons one by one subject to the condition that no mother is interviewed before her child. The number of ways in which interview can be arranged is, r. in (50 ,110) The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is, s. in (40 ,70)

There are four boxes of one dozen eggs each. They contain 2, 3, 1, 0 spoiled eggs respectively. One box is selected at random and then an egg is taken at random. What is the probability that the egg is spoiled ?