49. Let Xi9 i > 1, be independent uniform (0, 1) random variables, and define by...

49. Let Xi9 i > 1, be independent uniform (0, 1) random variables, and define Í by

Í = min{rt < Xn.x}

where X0 = x. Let f(x) = E[N].

Hint: Any outcome in which they are eventually tied with A receiving the first vote corresponds to an outcome in which they are eventually tied with  receiving the first vote. Explain this correspondence.

(c) Argue that Pfeventually tied) = 2m/(n + ra), and conclude that Pn,m = (n - rri)/(n + m).