You are planning to take three exams. According to the records, the failure rates for the exams A, B, and C are 10%, 20%, and 30%, respectively. Assume that the passing rates for all exams are...

You are planning to take three exams. According to the records, the failure rates for the exams A, B, and C are 10%, 20%, and 30%, respectively. Assume that the passing rates for all exams are independent events:

1. What is the probability that you will pass only one exam?


2. What is the probability that you will pass at least one exam?


3. Given that you have passed at least one of the exams, what is the probability that you have passed only one exam?