A bag contains p white and q red balls. `m(m < p,m < q)` balls are drawn from the bag one by one with replacement. Prove that the probability of the mth ball being red is `q/(p+ q)`.

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

A bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red?

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5 red and balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn as red.

A bag A contains 2 white and 3 red balls and a bag B contains 4 white and 5red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn as red.

A bag contains 5 white and 7 red balls.One ball is drawn at random.What is the probability that ball drawn is white?

A bag contains 30 white and 10 red balls. One ball is drawn at random. What is the probability that the ball drawn is red?

A bag contains 1 white and 6 red balls,and a second bag contains 4 white and 3 red balls. One of the bags is picked up at random and a ball is randomly drawn from it,and is found a be white in colour.Find the probability that the drawn ball was from the first bag.