An instructor has a test bank consisting of 300 easy True/False questions, 200 difficult True/False questions, 500 easy multiple choice questions (MCQ) and 400 difficult multiple choice questions. If a questions is selected at random from the test bank, what is the probability that it will be an easy question given that it is a multiple choice question.

Explanation

To solve the problem, we need to find the probability that a question is easy given that it is a multiple choice question. We can denote the events as follows:

- Let E be the event that the question is easy.
- Let M be the event that the question is a multiple choice question.

We want to find \( P(E | M) \), which is the probability of E given M.

Using the formula for conditional probability, we have:
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