When rolling two standard six-sided dice, each labeled from 1 to 6, what is the likelihood of rolling fewer than two even numbers?

Answer Choices

Correct answer marked below

1/8

1/4

1/2

3/4

Correct

8/9

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Explanation

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Official Explanation

Official

The possible outcomes for rolling two dice are 36 in total. The pairs that yield fewer than two even numbers include: (O,O) which occurs with a probability of

\frac{3}{6} imes \frac{3}{6} = \frac{1}{4}

, and (O,E) which can occur in two arrangements (O,E) and (E,O),…

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Comments

NoelMay 2, 2025

Thank for sharing!

SushilJun 16, 2024

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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.