QuestionAugust 24, 2025

When rolling a die what is the probability of less than 3 or even? 1/6 2/6 3/6 4/6

When rolling a die what is the probability of less than 3 or even? 1/6 2/6 3/6 4/6
When rolling a die what is the probability of less than 3 or even? 1/6 2/6 3/6 4/6

Solution
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Answer

4/6 Explanation 1. Identify favorable outcomes A die has 6 faces: 1, 2, 3, 4, 5, 6. Outcomes less than 3 are 1 and 2. Even outcomes are 2, 4, and 6. 2. Count unique favorable outcomes Unique favorable outcomes for "less than 3 or even" are 1, 2, 4, 6. Total = 4 outcomes. 3. Calculate probability **Probability** = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{4}{6}.

Explanation

1. Identify favorable outcomes<br /> A die has 6 faces: 1, 2, 3, 4, 5, 6. Outcomes less than 3 are 1 and 2. Even outcomes are 2, 4, and 6.<br /><br />2. Count unique favorable outcomes<br /> Unique favorable outcomes for "less than 3 or even" are 1, 2, 4, 6. Total = 4 outcomes.<br /><br />3. Calculate probability<br /> **Probability** $= \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{4}{6}$.
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