Alex owns 6 pairs of shoes, each pair in a unique color. If Alex randomly picks 2 shoes without replacement from the total of 12 shoes, what is the probability that both shoes will be of the same color?

Answer Choices

Correct answer marked below

1/6

1/11

Correct

1/12

1/15

1/36

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Explanation

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Official Explanation

Official

To find the probability, we first note that the probability of selecting any one shoe from the 12 shoes is 12/12 = 1. After selecting the first shoe, there is only 1 other shoe left of the…

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Comments

JoãoMay 19, 2024

thank you taking time to upload it!

SaeedFeb 8, 2024

Great

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.