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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

`(5)/(7)`

B

`(1)/(7)`

C

`(7)/(15)`

D

`(1)/(15)`

Text Solution

Verified by Experts

The correct Answer is:
C
Key idea use `.^(n)C_(r)=(n!)/(r!(n-r)!)`
Total number of balls=10
Required probability`=(.^(6)C_(2)+.^(4)C_(2))/(.^(10)C_(2))=(15+6)/(45)=(21)/(45)=(7)/(15)`
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