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A bag contains 10 White and 3 black ball...

A bag contains 10 White and 3 black balls. Balls are drawn one by one without replacement till all the black balls are drawn. What is the probability that this procedure will come to an end at the seventh draw.

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The correct Answer is:
`(.^(10) C_(4) xx .^(3)C_(2))/(.^(13) C_(6)) xx (1)/(7)`
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