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A bag contains 6 green and 5 black balls if two balls are drawn. What is the probability that both of them are of different color?

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41/110

9/22

2/11

None of these

answer is D.

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Detailed Solution

Required probability is

$\frac{^{6} C_{1} \times^{5} C_{1}}{^{11} C_{2}} = \frac{6 \times 5 \times 2}{11 \times 10} = \frac{6}{11}$

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