Suppose that to get a job offer,you need to take 2 exams.The results of your exam are independent and you have 70% to pass each of them.If you fail both exams,you will have no chance to get the job.If you pass one of them,you will have 30% chance to get the job.If you pass both exams,you will have an 80% chance to get the job.What is the probability that you get the job?
A)0.392
B)0.455
C)0.518
D)0.812

Question

Quizplus · Accepted Answer

To get the job, you need to pass at least one exam or pass both exams. The probability of passing both exams is 0.7 x 0.7 = 0.49. The probability of failing both exams is 0.3 x 0.3 = 0.09. The probability of passing one exam and failing the other is (0.7 x 0.3) + (0.3 x 0.7) = 0.42. Therefore, the probability of getting the job is the sum of the probabilities of passing at least one exam and passing both exams:
P(getting the job) = (0.49 x 0.8) + (0.42 x 0.3) = 0.518
So the best choice is C.

Suppose That to Get a Job Offer,you Need to Take