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

A bag contains 6 white and 6 black balls. One by one the balls are drawn from the bag with replacement then the probability that 3rd time a white ball is drawn in 7th draw is:

A

`5/16`

B

`5/12`

C

`15/64`

D

`15/128`

Text Solution

Verified by Experts

The correct Answer is:
D
In first 6 draws 2 white balls are drawn and 7th draw to be a white ball.
Required probability `=""^(6)C_(2)(1/2)^(2)(1/2)^(4) xx 1/2 = 15/128`
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