In a new children's game, there is a fair, 30-sided die with each face showing a different letter from the alphabet (English + greek letters). Additionally, there are 15 cards numbered from 1 to 15. If one card is drawn randomly and the die is rolled, what is the probability that the letter K is rolled and a card with a number greater than 12 is drawn?

Correct answer marked below

1/60

1/30

1/450

8/225

1/150

Correct

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Explanation

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Official Explanation

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In this game, the probability of rolling a K is

\frac{1}{30}

. The probability of drawing a card with a number greater than 12 (which are 13, 14, and 15) is [m]\frac{3}{15} =…

Comments

NimishaApr 17, 2025

Great!

MadhavJun 3, 2024

thanks

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.