a student is taking a very difficult quiz is kind, the student has a 25% probability of completely knowing how to do the question, 15% of somewhat knowing, and 60% probability of completely not knowing. on the questions that they know completely, they will get the right answer 99% of the time; on the questions that they somewhat know, they get the right answer 50% of the time; on the questions they completely do not know how to do, they will get the right answer 25% of the time. we observed the student getting the question correct. what is the probability (given this observation) that the student completely know how to do the question?
