Jim has to take two consecutive exams to get a certificate. The probability for him to pass the first exam is 0.7. If he pass the first exam, then the probability for him to pass the second exam will remain as 0.7, otherwise the probability for him to pass the second exam will be reduced to 0.35. (a) A certificate can be only granted to the student who passed at least one exam. What’s the probability for Jim to get a certificate ? (b) If Jim passed the second exam, what’s the probability that he also passed the first exam ?

Jim has to take two consecutive exams to get a certificate. The probability for him to pass the first exam is 0.7. If he pass the first exam, then the probability for him to pass the second exam will remain as 0.7, otherwise the probability for him to pass the second exam will be reduced to 0.35. (a) A certificate can be only granted to the student who passed at least one exam. What’s the probability for Jim to get a certificate ? (b) If Jim passed the second exam, what’s the probability that he also passed the first exam ?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Jim has to take two consecutive exams to get a certificate. The probability for him to pass the first exam is 0.7. If he pass the first exam, then the probability for him to pass the second exam will remain as 0.7, otherwise the probability for him to pass the second exam will be reduced to 0.35.
(a) A certificate can be only granted to the student who passed at least one exam. What’s the probability for Jim to get a certificate ?
(b) If Jim passed the second exam, what’s the probability that he also passed the first exam ?

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