Two balls are drawn at random from a bag containing 6 white and 4 black balls. Find the chance that one is white and the other is black?

Three balls are drawn at random from a bag containing 8 black and 10 white balls. What is the chance that they are all white ? Also, find the odds in favour of the event and against the event .

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that (i) both balls are red. (ii) first ball is black and second is red. (iii) one of them is black and other is red.

A ball is drawn at random from a bag containing 1 black ball and 1 green ball. If the drawn ball is black then it is replaced in the bag and again a ball is drawn from the bag. But if the first drawn ball is green, then a die is rolled .Write down the sample space associated with this random experiment.

A bag contain n white and n black balls, all of equal size. Balls are drawn at random. Find the probability that there are both white and black balls in the draw and that the number of white balls is greater than that of black balls by 1.

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 -

A bag contains 8 white and 7 black balls and another bag contains 5 white and 4 black balls. A ball is drawn at random from the first bag and put it into second bag. Now if a ball is drawn at random from the second bag. Find the probability that the ball drawn is white.

A bag contains 8 white and 7 black balls. A ball is drawn at random from the bag and put into another bag which contains 5 white and 4 black balls. A ball is drawn randomly from the second bag. What is the probability that it is white ?

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

Three identical urns contain white and black balls. The first urn contains 2 white and 3 black balls, the second urn 3 white and 2 black balls and the third urn 1 black and 4 white balls. An urn is chosen at random and a ball is drawn from it. If the ball drawn is white, what is the probability that the first urn is chosen ?

A box contains 24 identical balls of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is (a) 5/64 (b) 27/32 (c) 5/32 (d) 1/2