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I have the answers for these questions, according to my study guide. I don't understand how...

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Basic Math

I have the answers for these questions, according to my studyguide. I don't understand how the answers were obtained, though, soplease show work!

A) You are planning to take two exams.According to the records, the failure rates for the two exams are15% and 25%, respectively. Additionally, 80% of the student whopassed the exam 1 passed exam 2. (The 80% is based on the givencondition.)

What will be the probability that you fail the 1stexam, if you did not pass the 2ndexam?

0.32


B) You are planning to take two exams. Accordingto the records, the failure rates for the two exams are 15% and25%, respectively. Additionally, 80% of the student who passed theexam 1 passed exam 2. (The 80% is based on the givencondition.)

What is the probability that you will fail at most oneexam?

0.92

C) You are planning to take two exams.According to the records, the failure rates for the two exams are15% and 25%, respectively. Additionally, 80% of the student whopassed the exam 1 passed exam 2. (The 80% is based on the givencondition.)

Given that you have passed at least one of theexams, what is the probability that you have passedonly one exam?

0.2609

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