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PLS HELP

A social studies test has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions.

TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF

If a student randomly guesses for all four questions, what is the probability they get all four questions correct?

Enter your answer as a fraction, like this: 3/14

User Pastx
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1 Answer

5 votes

Answer:

1/16 chance

Explanation:

In a scenario with 4 situations that each have two options, to find how many total combinations of answers there are you would set the number of questions as the base and the number of options as the power, like this:
4^2=16

All 16 possibilities of combinations are listed in the question. Since we do not know which option is the correct one, there is a 1/16 chance that the student will get all four questions right, as that is a single combination out of 16.

Hope this helps! :)

User Uzzal Podder
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3.6k points