SOLUTION: Two questions are on a test. There are 4 multiple choice answers for each question, but only one is right for each question. What is the probability you will get both questions cor

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Question 429764: Two questions are on a test. There are 4 multiple choice answers for each question, but only one is right for each question. What is the probability you will get both questions correct.
1. A,B,C,D (Only one can be right)
2. A,B,C,D (Only one can be right)
Probability of getting both questions correct?

Found 2 solutions by edjones, stanbon:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1/4 * 1/4 = 1/16

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two questions are on a test. There are 4 multiple choice answers for each question, but only one is right for each question.
What is the probability you will get both questions correct.
1. A,B,C,D (Only one can be right)
2. A,B,C,D (Only one can be right)
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P(x = 1) = 4C1(1/4)(3/4)^3 = 4*(27/256) = 108/256
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Probability of getting both questions correct?
P(x = 2) = 4C2(1/4)^2(3/4)^2 = 6(1/16)(9/16) = 54/256
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cheers,
Stan H.
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