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Q.

Four balls are drawn at random from a bag containing 5 white, 4 green and 3 black balls. The probability that exactly two of them are white is:

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a

1433

b

716

c

1833

d

916

answer is A.

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Detailed Solution

Total number of balls = 12 Hence, required probability = =5C2×7C212C4=1433 ∵ no of ways of drawing 2 white balls from 5 white balls = 5C2 .Also, no of ways of drawing 2 other from remaining 7 balls = 7C2
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Four balls are drawn at random from a bag containing 5 white, 4 green and 3 black balls. The probability that exactly two of them are white is: