Question

An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is the probability that each of the balls will be (a) of the same color? Repeat under the assumption that whenever a ball is selected, its color is noted and it is then replaced in the urn before the next selection. This is known as *sampling with replacement*.

Step 1

*Sampling without replacement:*

The urn consists of 19 balls in total. The sampling is done with replacement.

Three balls are selected. Thus, three balls have to be selected from the 19 balls.

The total number of ways of getting 3 balls from the 19 balls is 19C3.

The number of ways of getting 3 balls of same colour is getting 3 red balls or 3 blue balls or 3 green balls.

Thus, the number of w...

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