SOLUTION: A multiple-choice test has four choices for each answer. Suppose you make a random guess on three of the ten questions. What is the probability that you will answer all three corre

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Question 580691: A multiple-choice test has four choices for each answer. Suppose you make a random guess on three of the ten questions. What is the probability that you will answer all three correctly?
the back of the book says it's 1/64 but I cannot seem to get that. I tried 3/10 x 12/40, 1/4 x 12/40, and many others. Please help!

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
3 questions, each with a 1/4 chance of being correct

(1/4) * (1/4) * (1/4) = 1/64