Question 748661: Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all four questions, find the indicated probabilities. (Round your answers to three decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all four questions, find the indicated probabilities. (Round your answers to three decimal places.)
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P(x = 0 correct) = (4/5)^4
P(x = 1 correct) = 4C1(1/5)*(4/5)^3
P(x = 2 correct) = 4C2(1/5)^2*(4/5)2
etc.
Cheers,
Stan H.
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