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Question

# In a test student either guesses or copies or knows the answer to a multiple choice questions with four choices in which exactly one choice is correct. The probability that he makes a guess is 13. The probability that he copies the answer is 16. The Probability that his answer is correct given that he copied it is 18. Find the probability that he knew the answer to the question given that he correctly answered it is

A

2935

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B

2429

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C

17

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D

19

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Solution

## The correct option is B 2429 Let ‘A’ be the event of guessing the correct answer. ‘B’ be the event of copying the correct answer. ‘C’ be the event of knowing the correct answer. ‘D’ be the event that his answer is correct P(A)=13P(B)=16P(C)=12P(DB)=18P(DA)=14P(DC)=1P(CD)=P(C).P(DC)P(A).P(DA)+P(B).P(DB)+P(C).P(DC)=2429

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