A bag has 10 balls. Six balls are drawn in an attempt and replaced. Then another draw of 5 balls is made from the bag. The probability that exactly two balls are common to both the draw is
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a
521
b
2/21
c
721
d
321
answer is A.
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Detailed Solution
The total number of ways of making the second draw is 10C5.The number of draws of 5 balls containing 2 balls common with first draw of 6 balls is 6C2 4C3. There fore, the probability is 6C24C3 10C5=521