Question 478035: a student takes a pop quiz that consists of three true-false questions. Each question can be answered correctly (c) and incorrectly (I). Consider this a three step process, i.e., answering the first question with a C or an I, answering the second question with a C or an I, and answering the third with a C or an I.
Identify each sample space outcome suing the c and i designations. what is the probability that the student gets all three questions correct? what is the probability that the student gets exactly two questions correct? what is the probability that the student gets at least two questions correct?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a student takes a pop quiz that consists of three true-false questions. Each question can be answered correctly (c) and incorrectly (I).
Consider this a three step process, i.e., answering the first question with a C or an I, answering the second question with a C or an I, and answering the third with a C or an I.
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Identify each sample space outcome using the c and i designations.
Sample space:
ccc
cci
cic
icc
cii
ici
iic
iii
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What is the probability that the student gets all three questions correct?
Ans: 1/8
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What is the probability that the student gets exactly two questions correct?
Ans: 3/8
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What is the probability that the student gets at least two questions correct?
Ans: 4/8 = 1/2
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Cheers,
Stan H.
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