A random integer is selected from the range of integers between 42 and 67, inclusive. What is the probability that this integer is a multiple of 3 or 7?

Correct answer marked below

7/26

11/26

Correct

3/10

9/25

11/30

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Official Explanation

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Correct Option: A

\frac{7}{26}

- Total integers from 42 to 67 = (67 - 42) + 1 = 26 - Multiples of 3: {42, 45, 48, 51, 54, 57, 60, 63, 66} - Multiples of…

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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.