10. A multiple-choice test has 4 choices, one ofwhich is a correct answer. If a student just guesses the answer, what is the probability that he has exactly 3 correct answers in 4 successive unrelated questions?

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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10. A multiple-choice test has 4 choices, one of which is a correct answer. If a student just
guesses the answer, what is the probability that he has exactly 3 correct answers in 4
successive unrelated questions?
11. The probability that a married man watches a certain television show is ½ and the
probability that a married woman watches the show is 2/5. The probability that a
man watches the show, given that his wife does, is 4/5. Find the probability that a
married couple watches the show.
12. In the Venn diagram below, choose 2 events that describe the shaded region.
Explain your answer by constructing the 2 Venn diagrams of the pair that you
choose.
S
Event A: (E, n E2)'
Event B: E,' U E2'
Event C: E,'n E2'
Transcribed Image Text:10. A multiple-choice test has 4 choices, one of which is a correct answer. If a student just guesses the answer, what is the probability that he has exactly 3 correct answers in 4 successive unrelated questions? 11. The probability that a married man watches a certain television show is ½ and the probability that a married woman watches the show is 2/5. The probability that a man watches the show, given that his wife does, is 4/5. Find the probability that a married couple watches the show. 12. In the Venn diagram below, choose 2 events that describe the shaded region. Explain your answer by constructing the 2 Venn diagrams of the pair that you choose. S Event A: (E, n E2)' Event B: E,' U E2' Event C: E,'n E2'
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