Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you quess the answers to three such questions. a. Use the multiplication rule to find P(WCW), where C denotes a correct answer and W denotes a wrong answer. P(WCW) =(Type an exact answer.) b. Beginning with WCW, make a complete list of the different possible arrangements of one correct answer and two wrong answers, then find the probability for each entry in the list. P(WCW) - see above P(CWW) = P(WWC) = (Type exact answers.) c. Based on the preceding results, what is the probability of getting exactly one correct answer when three guesses are made? (Type an exact answer.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
icon
Related questions
Question
Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you quess the answers to three such questions.
a. Use the multiplication rule to find P(WCW), where C denotes a correct answer and W denotes a wrong answer.
P(WCW) =(Type an exact answer.)
b. Beginning with WCW, make a complete list of the different possible arrangements of one correct answer and two wrong answers, then find the probability for each entry in the list.
P(WCW) - see above
P(CWW) =
P(WWC) =
(Type exact answers.)
c. Based on the preceding results, what is the probability of getting exactly one correct answer when three guesses are made?
(Type an exact answer.)
Transcribed Image Text:Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you quess the answers to three such questions. a. Use the multiplication rule to find P(WCW), where C denotes a correct answer and W denotes a wrong answer. P(WCW) =(Type an exact answer.) b. Beginning with WCW, make a complete list of the different possible arrangements of one correct answer and two wrong answers, then find the probability for each entry in the list. P(WCW) - see above P(CWW) = P(WWC) = (Type exact answers.) c. Based on the preceding results, what is the probability of getting exactly one correct answer when three guesses are made? (Type an exact answer.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning