Probability Tes...

In a collection of 6 English books and 4 Reasoning books, the probability that 3 particular English books will be lying together is

You are given a box with 25 cards in it. 10 of these cards have letter "I" printed on them and the other 15 have the letter "T" printed on them. If you pick up 3 cards one by one at random and keep them in the same order, the probability of making the word I.I.T. is

N students have to stand in a row. If all possible permutations are equally likely, the probability of two particular students standing side by side is

The odds against an event A are 5 : 3 and odds in favour of another independent event B are 7 : 5. The chances that neither A nor B occurs is

A bag contains 6 white and 4 black balls. A man pulls out 2 balls at random. The probability that they are of the different colour is

A person draws a card from a pack of 52 playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail in the first two draws is

The probability of getting a sum of more than 7 when a pair of dice is thrown, is

From each of two married couples, one of the partners is selected randomly. The probability that those selected are of the opposite sex is

A bag contains 15 white and 4 green balls. One ball is drawn at random. The probability that it is green is

Two fair dice are thrown. Let X be the event that the first die shows an even number and Y be the event that the second die shows an odd number. The two events X and Y are

The probability of having 53 Mondays in a year is

The probability that A can solve a problem is 1/3, and the probability that B can solve the problem is 1/4. The probability that at least one of A and B will be able to solve the problem is

Two cards are drawn from a pack. The probability of getting a king and a queen is

A husband and wife appear for an interview for the same post. The probability of husband's selection is and that of wife's is . What is the probability that none of them will be selected?

There are 40 cards with numbers 1 to 40 printed on them. What is the probability of finding a card with a multiple of 4 in a draw?

The chances of a win of two race horses are and respectively. What is the probability that at least one will win when the horses are running in different races?

Four letters are written to different persons and addresses on the envelopes are also written. Without looking at the addresses, the probability that letters go into right envelopes is

A work is given to 4 men and their probabilities for doing the work are , , and respectively. The probability that the work done is

Ram and Ravana throw a dice. The chance that both Ram and Ravana throw the same number is

If A and B are two events such that
(i) P(A B) = , P(B A) = .
(ii) P(A) = , then the events A and B are