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**Jame** A student either knows the answer or guesses on a multiple choice test.

Let $\displaystyle p$ be the probability the student knows the answer and $\displaystyle 1-p$ be the probability the student guesses.

Assume a student that guesses will be right with a probability of $\displaystyle 1/m$. (where $\displaystyle m$ is the number of multiple choice alternatives.

What is the probability that the student knew the answer to a question given that it was answered correctly?

I am pretty sure this problem uses Bayes Thm, but I am not sure where to begin. Any help please? Thank you.

-Jame