7 To pass a course, Preety has to pass two tests, test A and test B. Each test only has to be passed once. Passing test

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7 To Pass A Course Preety Has To Pass Two Tests Test A And Test B Each Test Only Has To Be Passed Once Passing Test 1 (55.09 KiB) Viewed 34 times

7 To pass a course, Preety has to pass two tests, test A and test B. Each test only has to be passed once. Passing test A and passing test B are independent events. Preety has three attempts to pass test A. 3 The probability that she passes test A on her first attempt is 5 DO NOT WRITE IN THIS AN If she fails on her first attempt, the probability that she passes on her second attempt is 5 3 If she fails on her second attempt, the probability that she passes on her third attempt is 8 I wait (a) Calculate the probability she passes test A. (3) Preety has two attempts to pass test B. 3 5 The probability that she passes test B on her first attempt is 3 The probability that she passes test B is (b) Calculate the probability that Preety passes test B on her second attempt, given that she fails test B on her first attempt. (3) Preety decides to take the two tests only if the probability that she passes the course is greater than 0.5 (c) State whether or not Preety should take the two tests. Give a reason for your answer.