Find the probability distribution of the number of white balls drawn in a random draw of 3 balls without replacement from a bag containing 4 white and 6 red balls.

Find the probability distribution of the number of green balls drawn when 3 balls are drawn , one by one, without replacement from a bag containing 3 green and 5 white balls.

Find the probability distribution of the number of green balls drawn when 3 balls are drawn one by one without replacement from a bag containing 3 green and 5 white balls.

An urn contains 4 white and 3 red balls. Find the probability distribution of the number of red balls in a random draw of three balls.

An urn contains 4 white and 3 red balls. Find the probability distribution of the number of red balls in a random draw of three balls.

An urn contains 3 white and 6 red balls. Four balls are drawn one by one with replacement from the urn. Find the probability distribution of the number of red balls drawn. Also find mean and variance of the distribution.

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and two balls are drawn at random without replacement from the bag and are found to be both red. Find the probability that the balls are drawn from the first bag.

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 contain n ball out of which some balls are white. If probability that a bag contains exactly i white ball is proportional to i^2 . A ball is drawn at random from the bag and found to be white, then find the probability that bag contains exactly 2 white balls.

A bag contain n ball out of which some balls are white. If probability that a bag contains exactly i white ball is pro0portional to i^2dot A ball is drawn at random from the bag and found to be white, then find the probability that bag contains exactly 2 white balls.

A bag contains 5 red and 3 blue balls . If three balls are drawn one by one without replacement from the bag then the probability of drawing exactly two red balls of the three balls , the first ball being red is