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Questions  

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

a
521
b
2/21
c
721
d
321

detailed solution

Correct option is A

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

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A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.


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