Answer to Question #298632 in Statistics and Probability for Sherren

Question

A basket contains 5 white ball (w) and 5 black ball (b). What is the possible result if you draw 3 balls in random from the basket.let x be the random variable representing the number of black ball that occur.

Answer 1

The sample space for drawing 3 balls from this basket with the corresponding description are given below,

1.

WWW- For this sample point, there are 3 white balls

2.

WWB- For this sample point, there are 2 white balls and 1 black ball.

3.

WBW- For this sample point, there are 2 white balls and 1 black ball

4.

WBB- For this sample point, there is 1 white ball and 2 black balls

5.

BWW- For this sample point, there are 2 white balls and 1 black balls.

6.

BWB- For this sample points, there is 1 white ball and 2 black balls.

7.

BBW- For this sample point, there is 1 white ball and 2 black balls.

8.

BBB- For this sample point, there are 3 black balls.

These are the possible results.

Let $X$ be a random variable representing the number of black balls that occur, then this random variable may take on the values 0,1,2,3 as described above.