Question 757910
Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with three possible responses. (Do this on paper. Your instructor may ask you to turn in this work.) 
(b) Probability extension: Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all three correct answers? (Use 5 decimal places.)
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Tree:
Root column is the 1st question with elements "correct" and "wrong" : 2 elmts
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1st Branch column is the 2nd question with "c" and "w" to the right
of each element in the Root column ; 4 elmts
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2nd Branch column is the 3rd question with "c" and "w" to the right
of each element in the 1st Brance column. ; 8 elmts
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Total # of branches: 2*2*2 = 8
P(each branch) = 1/8
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P(ccc) = 1/8
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Cheers,
Stan H.
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