Multiple-choice questions each have five possible answers (a, b, c, d, e)​, 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​)=____ ​(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​)=_____ ​P(WCC​)=_____ ​P(CCW​)=_____ ​( 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.2: Order Of Operations
Problem 38PPS
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Multiple-choice questions each have five possible answers (a, b, c, d, e)​, 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​)=____
​(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​)=_____
​P(WCC​)=_____
​P(CCW​)=_____
​( 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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