The following information is for questions 15 to 17. A person is planning to tak
ID: 3177139 • Letter: T
Question
The following information is for questions 15 to 17.
A person is planning to take two formal exams. According to the records, the passing rates for the exams 1 and 2 are 53% and 71%, respectively. Assume that the passing rates for both exams are independent events:
15. What is the probability that this person will pass only the exam 1?
16. What will be the probability that he/she will fail the first exam, if he/she did not pass the second exam?
17. What is the probability that this person will fail only the exam 1?
Explanation / Answer
Result:
The following information is for questions 15 to 17.
A person is planning to take two formal exams. According to the records, the passing rates for the exams 1 and 2 are 53% and 71%, respectively. Assume that the passing rates for both exams are independent events:
P( pass in 1st) =0.53 P(fail in first) =0.47
P( pass in 2nd) =0.71 P(fail in second) =0.29
P( pass in 1st and pass in 2 nd) = 0.53*0.71 =0.3763
15. What is the probability that this person will pass only the exam 1?
P=0.53-0.3763
=0.1537
16. What will be the probability that he/she will fail the first exam, if he/she did not pass the second exam?
P( fail in 1st and fail in 2 nd) = 0.47*0.29 =0.1363
P =0.1363/0.47
=0.29
17. What is the probability that this person will fail only the exam 1?
P( fail in 1st and fail in 2 nd) = 0.47*0.29 =0.1363
probability that this person will fail only the exam 1
=0.47-0.1363
=0.3337
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