In multiple choice questions, there is always the possibility that a student luckily guesses the right answer. Suppose K = student knows the right answer, C = student answers correctly. If three possible choices are provided, from which only one is correct, assume P(C|K^c) = 1∕3 (student guesses the right answer), P(C|K) = 1, and P(K) = 3∕4. Find the probability the student knows the answer, given they answered correctly.