A jar contains 7 black balls and three white balls. A and B take turns to draw a ball at random without replacement until one wins drawing a white ball. Assume that each ball is equally likely to be drawn. Player A draws first. Express your answers to three decimal places.

a. What is the probability that player A wins . Consider several mutually exclusive scenarios.

b. What is the probability that player A wins on the second draw.

c. Repeat part b when sampling is done with repacement.