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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.

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.

check_circleAnswer
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...

P(getting 3 balls of same colour)= 5C3
19C
8C3
6C3
19C 19C
5C6C8C
19C
86
969
-0.088
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P(getting 3 balls of same colour)= 5C3 19C 8C3 6C3 19C 19C 5C6C8C 19C 86 969 -0.088

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