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Mathematics · JEE | PROBABILITY

हिन्दी

An urn contains 10 black and 5 white balls. Two balls are drawn one after the other without replacement. What is the probability that both drawn balls are black?

  1. A
    \( \frac{4}{7} \)
  2. B
    \( \frac{3}{7} \)
  3. C
    \( \frac{1}{3} \)
  4. D
    \( \frac{2}{7} \)
View Answer & Solution

Correct answer · Option D

\( \frac{2}{7} \)

Explanation

Probability = \( \frac{10}{15} \times \frac{9}{14} = \frac{2}{3} \times \frac{9}{14} = \frac{3}{7} \times \frac{2}{2} \) wait: \( \frac{2}{3} \times \frac{9}{14} = \frac{18}{42} = \frac{3}{7} \). Let's check options: Option 2 is 3/7.
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