You are planning to take two exams. According to the records, the passing rates for the...
You are planning to take two exams. According to the records, the passing rates for the exams 1 and 2 are 65% and 45%, respectively. Assume that the passing rates for both exams are independent events:
- What will be the probability that you will fail the first exam, if you did not pass the second exam?
- Given that you have failed at least one of the exams, what is the probability that you have failed only the exam 1?
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Please provide all answers according to question numbers with steps
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