There are n urns each containing n + 1 balls such that the i th urn contains i white…

There are n urns each containing n + 1 balls such that the i^th urn contains i white balls and
(n + 1 – i) red balls. Let u_i be the event of selecting i^th urn,
i = 1, 2, 3, ..., n and w denotes the event of getting a white ball

If n is even and E denotes the event of choosing even numbered urn \(\left(P\left(u_{i}\right)=\frac{1}{n}\right),\) then the value of P(w/E) is