Find the probability of getting both red balss, when from a bag containing 5 red and 4 black balls, two balls are drawn without replacement.

Find the number of ways in which 5 red and 4 white balls can be drawn from a bag containing 10 red and 8 white balls.

Bag I contains 3 red and 4 black balls while another bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II is

One urn contains 4 white and 2 black balls. Second urn contains 5 white and 4 black balls. Two balls are transferred from the first urn to the second urn. Then one ball is drawn from the second urn. Find the probability that it is white.

A bag contains four cards marked as 5, 6, 7 and 8. Find the sample space if two cards are drawn at random without replacement.