There are n urns each containing (n + 1) balls such that the ith urn contains i white balls and (n + 1 - i) red balls. Let u, be the event of selecting ith urn, i = 1, 2, 3, ..., n and w denotes the event of getting a white ball. [IIT-JEE 2006, 5+5+5M] (i) If P(u) i, where i = 1, 2, 3, ..., n, then lim P(w), is 11-00 2 3 (a) 1 3 2 n+1 (b) (a). (ii) If P(u) = c, where c is a constant, then P Un W (b). (c). n+1 4 n n+1 (d)- (c). (d) is 1|2 (iii) If n is even and E denotes the event of choosing even W numbered urn P(u): ==) then the value of P is n (a) n+ 2 2n + 1 n+ 2 2(n+1) (b). n n+1 (c). (d) E 1 n+ 1