QuestionMay 5, 2026

7. A fair six-sided die is rolled. What are the odds of getting a 3 or higher. Leave your answer as a reduced fraction. square

7. A fair six-sided die is rolled. What are the odds of getting a 3 or higher. Leave your answer as a reduced fraction. square
7. A fair six-sided die is rolled. What are the odds of getting a 3 or higher.
Leave your answer as a reduced fraction.
square

Solution
4.7(212 votes)

Answer

\frac{2}{3} Explanation 1. Determine favorable outcomes A fair die has outcomes {1, 2, 3, 4, 5, 6}. Numbers 3 or higher are {3, 4, 5, 6}, so 4 favorable outcomes. 2. Calculate probability Total outcomes = 6. Probability = \frac{\text{favorable}}{\text{total}} = \frac{4}{6}. 3. Reduce fraction \frac{4}{6} \to \frac{2}{3}.

Explanation

1. Determine favorable outcomes <br /> A fair die has outcomes {1, 2, 3, 4, 5, 6}. Numbers 3 or higher are {3, 4, 5, 6}, so 4 favorable outcomes. <br />2. Calculate probability <br /> Total outcomes = 6. Probability = $\frac{\text{favorable}}{\text{total}} = \frac{4}{6}$. <br />3. Reduce fraction <br /> $\frac{4}{6} \to \frac{2}{3}$.
Click to rate: