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Home » Therefore, the number of integers is $ \boxed20 $. - SUpost

Therefore, the number of integers is $ \boxed20 $. - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 \boxed{2880}

📌 A fair six-sided die is rolled three times. What is the probability that exactly two of the rolls show a number greater than 4?

📌 A number greater than 4 corresponds to a 5 or 6. The probability of rolling a number greater than 4 on a single roll is:

📌 \frac{2}{6} = \frac{1}{3}

📌 The probability of rolling a number 4 or less is:

📌 \frac{4}{6} = \frac{2}{3}

📌 We want exactly two rolls to be greater than 4. The number of ways to choose which two of the three rolls are greater than 4 is:

📌 \binom{3}{2} = 3

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