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Home » Zohoho Shocked Us: This Hidden Gem is Taking the Internet by Storm! - IX Labs

Zohoho Shocked Us: This Hidden Gem is Taking the Internet by Storm! - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \times 5 = 280

📌 Thus, the total number of combinations is $\boxed{280}$

📌 Question: A box contains 7 red marbles and 9 blue marbles. If four marbles are drawn without replacement, what is the probability that exactly two are red?

📌 Solution: We calculate the probability of drawing exactly 2 red marbles and 2 blue marbles from a total of 16 marbles (7 red, 9 blue), without replacement.

📌 The total number of ways to choose 4 marbles from 16 is:

📌 \binom{16}{4} = \frac{16 \times 15 \times 14 \times 13}{4 \times 3 \times 2 \times 1} = 1820

📌 The number of favorable outcomes (2 red and 2 blue) is:

📌 \binom{7}{2} \times \binom{9}{2} = \left(\frac{7 \times 6}{2 \times 1}\right) \times \left(\frac{9 \times 8}{2 \times 1}\right) = 21 \times 36 = 756

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