In a competitive examination, an examinee either guesses or copies or knows the answer to amultiple choice question with four choices. The probability that he makes a guess is `1/3` and the probability that he copies the answer is 1/6. The probability that the answer is correct, given that he copiedit, is `1/8`. Find the probability that he knows the answer to the question, given that he correctly answered

Explanation

To solve the problem, we need to find the probability that the examinee knows the answer to the question given that he answered correctly. We will use the concept of conditional probability and the law of total probability.

### Step-by-Step Solution:

1. **Define Events**:
- Let \( G \) be the event that the examinee guesses the answer.
- Let \( C \) be the event that the examinee copies the answer.
- Let \( K \) be the event that the examinee knows the answer.
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