A test consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that the student will pass the test?

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Mathematics

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25 September, 01:36

A test consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. To pass the test a student must get 60% or better on the test. If a student randomly guesses, what is the probability that the student will pass the test?

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Van Barber · Answer 1

Try this option:

if only one answer of five is correct, it means, the probability to choose it P=1/5=0.2.

If the student guesses randomly, it means, using the probability 0.2, he (she) can choose only 10*0.2=2 correct answers. To pass the test, the student must get 0.6*10=6 correct answers or more.