In jar A, there are 5 red marbles and 3 blue marbles, while jar B contains 2 red marbles and 4 blue marbles. If one marble is randomly chosen from each jar, what is the probability of selecting exactly one red marble and one blue marble?

Correct answer marked below

1/6

5/24

1/4

13/24

Correct

3/8

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Explanation

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Official Explanation

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In jar A, there are 5 red marbles and 3 blue marbles, giving a total of 8 marbles. The probability of selecting a red marble from jar A is

\frac{5}{8}

. In jar B, there are 2 red marbles and 4 blue marbles, totaling 6 marbles. The probability of selecting a blue marble from jar B is

\frac{4}{6}

. Therefore, the probability of selecting one red marble from jar A and one blue marble from jar B is…

Comments

SnehamFeb 17, 2024

thank you for sharing

WeapeRAug 5, 2024

Great!

What this question tests

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

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