Answer to Question #179034 in Statistics and Probability for ARNS

Question

From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession Each ball is placed back in the box before the next draw is made. Let G be a random variable representing the number of green balls that occur. Find the values of the random variable G.

Answer 1

We have 4 black balls and 2 green balls, 6 balls in total.

Random variable G represents the number of green balls that occur.

3 balls are drawn with a replacement, thus G takes any one value from {0, 1, 2, 3}.