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Home » $ (8-3)\binom83 = 5 \cdot 56 = 280 $ - 500apps

$ (8-3)\binom83 = 5 \cdot 56 = 280 $ - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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Ways to draw exactly 2 red marbles:
We choose 2 red marbles from the 7 available:
\binom{7}{2} = \frac{7 \times 6}{2 \times 1} = 21
We also choose 2 blue marbles from the 8 available:
\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 outcom...

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