SOLUTION: You are given a multiple choice test consisting of 10 questions. Each question has 4 choices. If you quess at all of the answers, what is the probability that you will choose the i

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Question 137289This question is from textbook Fundmentals of Alegebraic Modeling
: You are given a multiple choice test consisting of 10 questions. Each question has 4 choices. If you quess at all of the answers, what is the probability that you will choose the incorrect answer ofr each question? My answer is:
4 * 10 = 40 40/10 = 4% This question is from textbook Fundmentals of Alegebraic Modeling

Found 2 solutions by stanbon, oscargut:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
You are given a multiple choice test consisting of 10 questions. Each question has 4 choices. If you quess at all of the answers, what is the probability that you will choose the incorrect answer for each question? My answer is:
4 * 10 = 40 40/10 = 4%
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P(wrong answer on one question) = 3/4
P(wrong answer on all ten questions) = (3/4)^10 = 0.0563
which is a little more than 5%
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Cheers,
Stan H.

Answer by oscargut(2103) (Show Source):
You can put this solution on YOUR website!
3/4 is the probability to choose the incorrect answer in each question
so answer is (3/4)^10