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📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 \binom{8}{2} = \frac{8 \times 7}{2 \times 1} = 28

📌 Total ways to draw exactly 2 red and 2 blue marbles:

📌 Multiply the number of ways to choose the red and blue marbles:

📌 \times 28 = 588

📌 Probability of drawing exactly 2 red marbles:

📌 The probability is the ratio of favorable outcomes to the total outcomes:

📌 \frac{588}{1365} = \frac{28}{65}

📌 Thus, the probability that exactly two of the drawn marbles are red is \(\boxed{\frac{28}{65}}\).

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