1. (18 points) An urn contains 2 red and 5 black balls. Players A and B withdraw balls from the urn consecutively (without replacement), until all the balls are withdrawn. Player A draws the first ball. The first player that draws a red ball wins. (However, unlike the homework, all balls are still withdrawn after the winning ball.) Let R; denote the event that the ith draw is red. (a) What is P(R2) ? (b) What is P(R7)