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The probability that three cards drawn f...

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

A

`(1)/(17)`

B

`(4)/(17)`

C

`(3)/(17)`

D

`(2)/(17)`

Text Solution

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The correct Answer is:
D
Total number of ways that three card drawn from a pacck of 52 cards are `.^(52)C_(3)` and number of ways that three red. Cards drawn are `.^(26)C_(3)`.
`therefore`Required probability `=(.^(26)C_(3))/(.^(52)C_(3))=(26xx25x24)/(52xx51xx50)`
`=(2)/(17)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SOLVED PAPER 2019-MCQS
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