Tree Diagram (a) Make a tree diagram to show all the

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QUESTION:

Tree Diagram (a) Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with four possible responses. (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?

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QUESTION:

Tree Diagram (a) Make a tree diagram to show all the possible sequences of answers for three multiple-choice questions, each with four possible responses. (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?

ANSWER:

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A tree diagram which shows all the possible sequences of answers for 3 multiple-choice questions, each with four possible responses is:

                 

 

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