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A multiple choice examination has 5 ques...

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

`(17)/(3^(5))`

B

`(13)/(3^(5))`

C

`(11)/(3^(5))`

D

`(10)/(3^(5))`

Text Solution

Verified by Experts

The correct Answer is:
C
Probability of guessing a correct answer, `p=(1)/(3)` and probability of guessing a wrong answer, `q=2//3`
`:. ` The probabiliy of guessing a 4 or more correct answers `overset(5)""C_(4)((1)/(4))^(4).(2)/(3)+overset(5)""C_(5)((1)/(3))^(5)=5.(2)/(3^(5))+(1)/(3^(5))=(11)/(3^(5))`
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