If Mia and Leo each roll a standard six-sided die, what is the likelihood that Mia rolls a number greater than the number rolled by Leo?

Answer Choices

Correct answer marked below

\frac{1}{3}

\frac{5}{12}

Correct

\frac{4}{9}

\frac{17}{36}

\frac{1}{2}

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

When Mia and Leo roll their dice, there are a total of 36 possible outcomes (6 sides for Mia multiplied by 6 sides for Leo). To find the cases where Mia's roll is greater than Leo's, we can count the favorable outcomes: Mia can roll a 2 against Leo's 1 (1 outcome), a 3 against Leo's 1 or 2 (2 outcomes), a 4…

Read the full explanation

Create free account Sign in

Comments

micheleMay 1, 2025

Thank you very much!

GarimaFeb 11, 2025

Amazing

WeapeRMay 12, 2024

pls explain more?

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.