Three friends ( A,B, C ) will participate in a round-robin in which one plays both of the others. Suppose that P ( A beats B )= 0.7, P (A beats C )=0.8 and P(B beats C)=0.6 and that the outcomes of the three matches are independent on one another.
a.what is the probability that A wins both her matches and that B beats C?
b.what is the probability that A wins both her matches?
c.what is the probability that A loses both her matches?
d.what is the probability that each person wins one match? (hint, there are two different ways for this to happen. Calculate the probability of each seperately and then add )