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In a bag there are 6 balls of which 3 ar...

In a bag there are 6 balls of which 3 are white and 3 are black. They are drawn successively with replacement. What is the chance that the colours are alternate ?

Text Solution

Verified by Experts

The correct Answer is:
`1/32`
P (six balls drawn follow the pattern WBWBWB)
`=((3)/(6))^(6)=((1)/(2))^(6)=(1)/(64)`
`therefore` P(six balls drawn follow the pattern BWBWBW)
`=((3)/(6))^(6)=((1)/(2))^(6)=(1)/(64)`
`therefore"Required probability"=1/64+1/64=1/32`
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