A teacher gives an unannounced, three-question true-false pop quiz, with two possible answers to each question. Complete parts (a)-(c) below. a. Use a tree diagram to show the possible response patterns, in terms of whether any given response is correct or wrong. Choose the correct answer below. OA. ✔c: O D. C W W C W C W W W W OB. C с с W The probability of passing the quiz by guessing randomly is (Type an integer or a decimal. Do not round.) C W *** с W C W C W с W C W W с W W C W с W с W C W (Type an integer or a decimal. Do not round.) c. Refer to (b). Using the tree diagram, evaluate the probability of passing the quiz, which the teacher defines as answering no more than one question wrong. C C W How many outcomes are in the sample space? There are 8 outcomes in the sample space. b. An unprepared student guesses all the answers randomly. Find the probability the student's first and third answers are correct and his second answer is wrong. The probability of the student's answers being CWC is 1 8 W C W C C W C W

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 12E
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A teacher gives an unannounced, three-question true-false pop quiz, with two possible answers to each question. Complete parts (a)-(c) below.
a. Use a tree diagram to show the possible response patterns, in terms of whether any given response is correct or wrong. Choose the correct answer below.
O A.
с
W
C
W
C
W
C
C
W
W
W
W
B.
C
W
The probability of passing the quiz by guessing randomly is
(Type an integer or a decimal. Do not round.)
W
...
C
W
C
W
C
W
C
W
C.
W
D
W
C
W
W
C
W
C
W
C
W
D.
(
W
C
W
W
How many outcomes are in the sample space?
There are 8 outcomes in the sample space.
b. An unprepared student guesses all the answers randomly. Find the probability the student's first and third answers are correct and his second answer is wrong.
The probability of the student's answers being CWC is
1
8
(Type an integer or a decimal. Do not round.)
c. Refer to (b). Using the tree diagram, evaluate the probability of passing the quiz, which the teacher defines as answering no more than one question wrong.
1·.·
W
C
W
Transcribed Image Text:A teacher gives an unannounced, three-question true-false pop quiz, with two possible answers to each question. Complete parts (a)-(c) below. a. Use a tree diagram to show the possible response patterns, in terms of whether any given response is correct or wrong. Choose the correct answer below. O A. с W C W C W C C W W W W B. C W The probability of passing the quiz by guessing randomly is (Type an integer or a decimal. Do not round.) W ... C W C W C W C W C. W D W C W W C W C W C W D. ( W C W W How many outcomes are in the sample space? There are 8 outcomes in the sample space. b. An unprepared student guesses all the answers randomly. Find the probability the student's first and third answers are correct and his second answer is wrong. The probability of the student's answers being CWC is 1 8 (Type an integer or a decimal. Do not round.) c. Refer to (b). Using the tree diagram, evaluate the probability of passing the quiz, which the teacher defines as answering no more than one question wrong. 1·.· W C W
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