Multiple-choice questions each have four possible answers (a, b, c, d), one of which is correct. ASsume that you guess the answers to three such questions. a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer. P(CWC) = 0.046875 (Type an exact answer.) b. Beginning with cWC, make a complete list of the different possible arrangements of two correct answers and one wrong answer, then find the probability for each entry in the list. P(CWC) – see above P(WCC) = 0.046875 P(CCW) = 0.046875 (Type exact answers.) c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made? (Type an exact answer.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 43E
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Multiple-choice questions each have four possible answers (a, b, c, d), one of which is correct. ASsume that you guess the
answers to three such questions.
a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer.
P(CWC) = 0.046875 (Type an exact answer.)
b. Beginning with cWC, make a complete list of the different possible arrangements of two correct answers and one wrong
answer, then find the probability for each entry in the list.
P(CWC) – see above
P(WCC) = 0.046875
P(CCW) = 0.046875
(Type exact answers.)
c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made?
(Type an exact answer.)
Transcribed Image Text:Multiple-choice questions each have four possible answers (a, b, c, d), one of which is correct. ASsume that you guess the answers to three such questions. a. Use the multiplication rule to find P(CWC), where C denotes a correct answer and W denotes a wrong answer. P(CWC) = 0.046875 (Type an exact answer.) b. Beginning with cWC, make a complete list of the different possible arrangements of two correct answers and one wrong answer, then find the probability for each entry in the list. P(CWC) – see above P(WCC) = 0.046875 P(CCW) = 0.046875 (Type exact answers.) c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made? (Type an exact answer.)
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