Question
A bag contains 2 white, 3 red and 4 blue balls. Two balls are drawn at random from the bag. If the random variable X denotes the number of white balls among the two balls drawn, describe the probability distribution of X.
Solution
Number of white balls = 2
Number of red balls = 3
Number of blue balls = 4
Total number of balls = 2 + 3 + 4 = 9
Let X denote the event ‘the number of white balls’. X can take the values 0, 1, 2.
Let p be the probabilities of getting white ball and q be the probabilities of not getting white ball.
∴ probability distribution is
