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 r red balls and b black balls. Now, match the following lists:

An urn contains r red balls and b black balls. Now, match the following lists:

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

Balls are drawn one-by-one without replacement from a box containing 2 black, 4 white and 3 red balls till all the balls are drawn. Find the probability that the balls drawn are in the order 2 black, 4 white and 3 red.

Six balls are drawn successively from an urn containing 7 red and 9 black balls. Tell whether or not the trials of drawing balls are Bernoulli trials when after each draw the ball drawn is (i) replaced (ii) not replaced in the urn.

Six balls are drawn successively from an urn containing 7 red and 9 black balls. Tell whether or not the trials of drawing balls are Bernoulli trials when after each draw the ball drawn is i. replaced ii. not replaced in the urn.

A bag contains 2 red balls and 4 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

A bag contains 2 red balls and 6 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red?

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. ii. one of them black and other is red.