In a collection, there are 4 yellow marbles, 4 blue marbles, and 3 red marbles. If 3 marbles are drawn at random from this collection, what is the probability of picking 2 blue marbles and 1 yellow marble?

Answer Choices

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2/55

8/55

Correct

9/55

12/55

16/55

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Official Explanation

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In the collection, there are 4 yellow marbles, 4 blue marbles, and 3 red marbles. To find the probability of selecting 2 blue marbles and 1 yellow marble when drawing 3 marbles, we first calculate the total number of ways to choose 3 marbles from the 11 available marbles, which is given by inom{11}{3} = 165. Next, we find the number of ways to…

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Comments

RuchaApr 15, 2025

Thank you very much!

RoDeSoMay 16, 2024

Thanks for sharingThank you for sharing!!thanks for sharing

HarshOct 16, 2024

greatt question!

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.