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There are n urns each continuous (n+1) b...

There are n urns each continuous (n+1) balls such that the `i`th urn contains 'i' white balls and (n+1-i) red balls. Let `u_(1)` be the event of selecting ith urn, i=1,2,3……..n and W denotes the event of getting a white balls.
If n is even and E dentes the event of choosing even numbered urn`[P(u_(i))=(1)/(n)]`, then the value of `P(W//E)` is

A

`(n+2)/(2n+1)`

B

`(n+2)/(2(n+1))`

C

`(n)/(n+1)`

D

`(1)/(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`P(W)/(E)=(2+4+6+...)/((n(n+1))/(2))=(n+2)/(2(n+1))`
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