An urn initially contains one red and one blue ball. at each stage, a ball is randomly chosen and then replaced along with another of the same color. let x denote the selection number of the first chosen ball that is blue. for instance, if the first selection is red and the second blue, then x is equal to 2. (a) find
p{x> i},i≥1
. (b) show that, with probability 1, a blue ball is eventually chosen. (that is, show that
p{x< [infinity]}=1.)
(c) find e[x].