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Question

A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is :

A
1735
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B
1335
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C
1135
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D
1035
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Solution

The correct option is C 1135
Probability that answer is correct, p=13
Probability that answer is not correct, q=1p=23
Probabilty of getting 4 or more correct answers = 5C4(13)423+ 5C5(13)5
=5235+135
=1135


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