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The probability that the three cards dra...

The probability that the three cards drawn from a pack of 52 cards, are all black, is

A

`(1)/(17)`

B

`(2)/(17)`

C

`(3)/(17)`

D

`(2)/(17)`

Text Solution

Verified by Experts

The correct Answer is:
B
In a pack of 52 cards, there are 26 black cards.
`therefore` Required probability `= (.^(26)C_(3))/(.^(52)C_(3))`
`=(26xx25xx24)/(3xx2xx1)xx(3xx2xx1)/(52xx51xx50)=(2)/(17)`
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