Three friends (a, b, and c. will participate in a round-robin tournament in which each one plays both of the others. suppose that p(a beats b.= 0.7, p(a beats c.= 0.9, p(b beats c.= 0.3, and that the outcomes of the three matches are independent of one another. (a) what is the probability that a wins both her matches and that b beats c? .189 correct: your answer is correct. (b) what is the probability that a wins both her matches? .63 correct: your answer is correct. (c) what is the probability that a loses both her matches? .03 correct: your answer is correct. (d) what is the probability that each person wins one match? (hint: there are two different ways for this to happen.) .588 incorrect: your answer is incorrect.