6. Consider an urn which contains red balls and green balls. Initially there isjust one green ball and one red ball in the urn. At each time step a ball is chosen randomly from the urn: {i} If the ball is red, then it's returned to the urn with an additional red ball; [ii] if the ball is green, then it's returned to the urn with an additional green ball. Let X\" denote the number of red balls in the urn after n draws. Suppose after 100 draws. there are 7'0 red balls, that is X103 = 70. What is the expected number of red balls in the urn after another 100 draws. that is [E[X200|an = 70]? Round your answerto the nearest integer. Hint: consider Y1.1 = Xn/[n l 2)