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29 March, 01:23

Solve by simulating the problem. You have a 5-question multiple-choice test. Each question has four choices. You don't know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly?

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  1. 29 March, 01:45
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    Here's how you can do the experiment (simulation).

    Since each question has four choices, numbered 1,2,3,4.

    Then take a coin and throw it twice to represent your answer guess, with

    HH=0

    HT=1

    TH=2

    TT=3

    Assume the correct answer is {1,1,1,1}, or any other set you decide to have.

    Repeat this 5 times to get the 5 answers, and record the "correct" answers.

    This constitutes ONE trial. You can repeat the number of trials as you are required to do.

    If the number of trials is a large number, you are better off writing a computer program, using Java, Excel, Perl, C, Basic, or any other language of your choice.
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