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 _______.

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colour is

There are two red, two blue, two white, and certain number (greater than 0) of green socks in a drawer. If two socks are taken at random from the drawer without replacement, the probability that they are of the same color is 1//5 , then the number of green socks are _______.

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

A box B_(1) contains 1 white ball 3 red balls and 2 black balls. Another box B_(2) contains 2 white balls, 3 red balls and 4 black balls. A third box B_(3) contains 3 white balls, 4 red balls and 5 black balls. If 2 balls are drawn (without replacement) from a randomly selected box and one of the ball is white and the other ball is red the probability that these 2 balls are drawn from box B_(2) is-

A box B_(1) contains 1 white ball, 3 red balls, and 2 black balls. An- other box B_(2) contains 2 white balls, 3 red balls and 4 black balls. A third box B_(3) contains 3 white balls, 4 red balls, and 5 black balls. If 2 balls are drawn (without replecement) from a randomly selected box and one of the balls is white and the other ball is red the probability that these 2 balls are drawn from box B_(2) is

A bag initially contains 1 red and 2 blue balls. An experiment consisting of selecting a ball at random, noting its color and replacing it together with an additional ball of the same color. If three such trials are made, then (A) Probability that a t least one blue ball is drawn is 0.9 (B) Probability that exactly one blue ball is drawn is 0.2 (C) Probability that all the drawn balls are red given that all the drawn balls are of same color is 0.2 (D) Probability that at least one red bal is drawn is 0.6

A bag contains an assortment of blue and red balls. If two balls are drawn at random, the probability of drawing two red balls is five times the probability of drawing two blue balls. Furthermore, the probability of drawing one ball of each color is six time the probability of drawing two blue balls. The number of red and blue balls in the bag is a. 6,3 b. 3,6 c. 2,7 d. none of these

An urn contains 3 red balls and n white balls. Mr. A draws two balls together from the urn. The probability that they have the same color is 1/2 Mr. B. Draws one balls form the urn, notes its color and replaces it. He then draws a second ball from the urn and finds that both balls have the same color is 5/8. The possible value of n is (a) 9 b. 6 c. 5 d. 1

There are two urns Aa n dB . Urn A contains 5 red, 3 blue and 2 white balls, urn B contains 4 red, 3 blue, and 3 white balls. An urn is chosen at random and a ball is drawn. Probability that the ball drawn is red is a. 9//10 b. 1//2 c. 11//20 d. 9//20