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A bag contains 6 white and 4 black balls...

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same color is

A

`(1)/(15)`

B

`(2)/(5)`

C

`(4)/(15)`

D

`(7)/(15)`

Text Solution

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The correct Answer is:
D
The required probability
`=(.^(6)C_(2)+.^(4)C_(2))/(.^(10)C_(2))=(15+6)/(45)=(21)/(45)=(7)/(15)`
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