In answering a question on a multiple choice test, a student either knows the answer or guesses. Let `3/4`be the probability that he knows the answer and `1/4`be the probability that he guesses. Assuming that a student who guesses at the answer with probability 1/4. what is the probability that the student knows the answer given that he answers correctly.?

Explanation

To solve the problem, we will use Bayes' theorem, which helps us find the probability of an event based on prior knowledge of conditions related to the event.

### Step-by-Step Solution:

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