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`

A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is a. 1//4 b. 1//3 c. 2//3 d. none of these

In a certain town, 40% of the people have brown hair, 25% have brown eyes, and 15% have both brown hair and brown eyes. If a person selected at random from the town has brown hair, the probability that he also has brown eyes is 1//5 b. 3//8 c. 1//3 d. 2//3

If three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls respectively, one ball is drawn at random, find the probability that the ball is black.

There are 3 bags which are known to contain 2 white and 3 black, 4 white and 1 black, and 3 white and 7 black ball, respectively. A ball is drawn at random from one of the bags and found to the black ball. Then the probability that it was drawn from the bag containing the most black ball is 7//15 b. 5//19 c. 3//4 d. none of these

A man alternately tosses a coin and throws a die beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is 3//4 b. 1//2 c. 1//3 d. none of these

The probability of a man hitting a target is (1)/(4) . How many times must he fire so that the probability of his hitting the target at least once is greater than (2)/(3) ?

An ordinary cube has 4 blank faces, one face mark 2 and another marked 3, then what is the probability of obtaining 12 in 5 throws?

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ball is drawn from it. Then the probability for the ball chosen be white is -

Balls are drawn one-by-one without replacement from a box containing 2 black, 4 white and 3 red balls till all the balls are drawn. Find the probability that the balls drawn are in the order 2 black, 4 white and 3 red.

A cricket club has 15 members, of them of whom only 5 can bowl. If the names of 15 members are put into a box and 11 are drawn at random, then the probability of getting an eleven containing at least 3 bowlers is 7//13 b. 6//13 c. 11//158 d. 12//13