A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.

There are 5 black and 6 red bills in a bag. Find one number of ways in which 2 black and 3 red balls can be selected.

In a bag there are 5 red balls, 3 white balls and 4 black balls. Four balls are drawn from the bag. Find the number of ways in which at most 3 red balls are selected?

(a) (i) Bag I contains 5 red and 3 black balls, Bag II contains 6 red and 5 black balls. One bag is chosen at random and a ball is drawn which is found to be black. Find the probability that it was drawn from Bag I, (II). (ii) Bag I contains 3 red and 5 white balls and bag II contains 4 red and 6 white balls. One of the bags is selected at random and a ball is drawn from it. The ball is found to be red. Find the probability that ball is drawn from Bag II. (b) Bag I contains 4 black and 6 red balls, bag II contains 7 black and 3 red balls and bag III contains 5 black and 5 red balls. One bag is chosen at random and a ball is drawn from it which is found to be red. Find the probability that it was drawn from bag II.

Three balls are drawn from a bag containing 5 red, 4 white and 3 black balls. The number of ways in which this can be done, if atleast 2 are red, is.

Bag I contains 2 white, 1 black and 3 red balls, Bag II contains 3 white, 2 black and 4 red balls, Bag III contains 4 white, 3 black and 2 red balls. A bag is chosen at random and two balls are drawn from it. They happen to be one black and one red. What is the probability that they come from bag II ?

A bag contains 6 white, 5 black and 4 red balls. Find the probability of getting either a white or a black ball in a single draw.

A box contains 3 red, 4 white and 2 black balls. The number of ways in which 3 balls can be drawn from the box, so that at least one ball is red , is ( all balls are different )

A bag contains 4 black balls and 6 red balls. One ball is drawn at random.The probability that it is red is

A box contains 4 distinct white,4 distinct red and 5 distinct black balls.The number of ways in which 3 balls can be drawn from the box so that at least one ball is black,is