Alice needs to pass two different exams. She believes that there is a probability of 32 % of passing the first exam. If she passes the first exam, then the probability of passing the second exam is 66 %. However, if she fails in the first exam, then Alice thinks that the probability of passing the second exam is just 57 %. (a) What is the probability that Alice passes both exams? (Notation: do not use % in your answers but actual numerical values) (b) What is the probability that she fails in both exams? (c) What is the probability that she passes only one of the exams?

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