Four balls are to be drawn without replacement from a box containing 8 red and 4 white balls. If X denotes the number of red balls drawn, find the probability distribution of X.

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that both balls are red.

Two balls are drawn with replacement from a box containing 10 black and 8 red balls. Find the probability that one of them is black and the other is red.

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that both balls are red

Two balls are drawn at random with replacement from'a box containing 10 black and 8 red balls. Find the probability that both balls are red.

Two balls are drawn in succession without replacement from an urn containing four red balls and three black balls. Let X be the possible outcomes drawing red balls. Find the probability mass function and mean for X.

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.