One urn contains two black balls (labelled B1 and B2) and one white ball. A second urn contains one black ball and two white balls (labelled W1 and W2). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. Write the sample space showing all possible outcomes. What is the probability that two black balls are chosen? What is the probability that two balls of opposite colour are chosen?

One urn contains two black balls (labelled B_(1) and B_(2) ) and one white ball. A second urn contains one black ball and two white balls (labelled W_(1) , and W_(2) ). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. (i) Write the sample space showing all possible outcomes (ii) What is the probability that two black balls are chosen ? (iii) What is the probability that two balls of opposite colour are chosen ?

An urn A contains 8 black balls and 5 white balls. A second urn B contains 6 black and 7 white balls. The probability that a blind folded person in one draw shall obtain a white ball

An urn contains 4 balls. Two balls are drawn at random from the urn (without replacement) and are found to be white. What is the probability that all the four balls in the urn are white ?

An urn contains 4 balls. Two balls are drawn at random from the urn (without replacement) and are found to be white. What is the probability that all the four balls in the urn are white ?

An urn contains 4 black and 6 red balls. If two balls are drawn at random from the urn without replacement ,then the probability that both are black is

An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn. What is the probability of getting at least one green ball?

An urn contains one black ball and one green ball. A second urn contains one white and one green ball. One ball is drawn at random from each urn. What is the probability that both balls are of same colour?

The first of two urns contains 3 white and 2 black balls and 2 red balls. One ball is taken at random from the first urn and is placed in the second urn. Then if one ball is taken at random from the second urn, find the probabilities that it is black.