Answer to Question #177478 in Statistics and Probability for Ysabelle

Question

A box contains 3 white balls and 6 black balls. Three balls are drawn by succession without replacement from the box.Let Y be the random variable representing the number of white balls.Find the values of the random variable Y

Answer 1

Let's W denote for white ball and B denote for black ball.

Thus all the possible outcomes when drawing 3 balls:

{BBB, BBH, BHB, HBB, BHH, HBH, HHB, HHH}

Y represents the number of white balls. Hence, the random variable Y takes any one value from {0, 1, 2, 3}.