Question:
In a bag, there are 6 white balls and 4 black balls. Two balls are drawn at random. What is the probability that both balls are white?
In a bag, there are 6 white balls and 4 black balls. Two balls are drawn at random. What is the probability that both balls are white?
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When calculating probability with combinations, always compute the total possible outcomes and favorable outcomes.
Updated On: Jan 22, 2025
- \( \frac{1}{2} \)
- \( \frac{1}{3} \)
- \( \frac{2}{3} \)
- \( \frac{1}{4} \)
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The Correct Option is B
Solution and Explanation
The total number of ways to pick 2 balls from 10 is \( \binom{10}{2} = 45 \).
The number of favorable outcomes (picking 2 white balls) is \( \binom{6}{2} = 15 \). Thus, the probability is \( \frac{15}{45} = \frac{1}{3} \).
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