A multiple choice exam has 10 choices for each question. A student has studied enough so that the probability he/she will know the answer to a question is 0.24, if he/she doesn't know the answer then the probability he/she will be able to eliminate one of the choices is 0.24, otherwise all 10 choices seem equally possible, and the student blindly guesses one out of all choices. If the student knows the answer he/she will get the question right, If not, they have to guess from the 9 or 10 choices depending on whether one choice is eliminated or not. What's the probability the students answer a question correctly? a. 0.3160 O b. 0.3187 c. 0.2667 O d. 0.2920 e. 0.4800

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 9
A multiple choice exam has 10 choices for each question.
A student has studied enough so that the probability he/she will know the answer to a question is
0.24, if he/she doesn't know the answer then the probability he/she will be able to eliminate one of
the choices is 0.24, otherwise all 10 choices seem equally possible, and the student blindly guesses
one out of all choices.
If the student knows the answer he/she will get the question right. If not, they have to guess from
the 9 or 10 choices depending on whether one choice is eliminated or not.
What's the probability the students answer a question correctly?
a. 0.3160
O b. 0.3187
O c. 0.2667
O d. 0.2920
e. 0.4800
Next page
Transcribed Image Text:Question 9 A multiple choice exam has 10 choices for each question. A student has studied enough so that the probability he/she will know the answer to a question is 0.24, if he/she doesn't know the answer then the probability he/she will be able to eliminate one of the choices is 0.24, otherwise all 10 choices seem equally possible, and the student blindly guesses one out of all choices. If the student knows the answer he/she will get the question right. If not, they have to guess from the 9 or 10 choices depending on whether one choice is eliminated or not. What's the probability the students answer a question correctly? a. 0.3160 O b. 0.3187 O c. 0.2667 O d. 0.2920 e. 0.4800 Next page
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