SOLUTION: Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to th

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Question 1034061: Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to the nearest thousandth.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
probability he guesses right is 0.25
Getting one question right can be 8C1 or 8 ways.
P(1)=8(0.25)^1*0.75^7=0.2670 or 0.267 to nearest thousandth.