A student either knows the answer or guesses on a multiple choice test.
Let be the probability the student knows the answer and be the probability the student guesses.
Assume a student that guesses will be right with a probability of . (where 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.
Thanks for answering.
I partitioned the sample space into the events
- knowing the answering
- guessing the answering
And I also have , the event where the answer is correct
has probability if you know the answer
has probability if you guess
Is this correct?