There are twenty-five cards numbered from 1 to 25. If one card is chosen at random from these 25 cards, what is the probability that the number on the chosen card is a multiple of 3, a multiple of 5, or a multiple of both 3 and 5?

Answer Choices

Correct answer marked below

8/25

10/25

12/25

Correct

14/25

15/25

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Official Explanation

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To find the probability, we first determine how many cards are multiples of 3, 5, and both. The multiples of 3 from 1 to 25 are: 3, 6, 9, 12, 15, 18, 21, 24 (8 cards). The multiples of 5 are: 5, 10, 15, 20, 25 (5 cards). The multiples of both 3 and 5 (i.e., multiples of 15) are: 15 (1 card). Using the…

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Comments

MdMar 17, 2025

Thankss

MihikaMay 4, 2025

thanksss

IanDec 18, 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.