Question

# If a test has three multiple choice questions that offer five possible answers, determine the probability that a student will get one out of three questions correct by guessing on all of them.

A
49125
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B
48125
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C
48145
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D
49145
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Solution

## The correct option is B 48125Given that there are 3 questions and each question has 5 possible answers.The number of possible multiple choice combinations are 5×5×5=125In each question , the probability of guessing correct is 15 and probability of guessing wrong is 45Out of 3 questions , the probability of getting one questions correct is 3C1×(45)2×15=48125The correct option is B.

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