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 step by step, we will use the concept of conditional probability. We are asked to find the probability that a question is easy given that it is a multiple choice question.

### Step 1: Determine the total number of questions in the test bank.
We have:
- Easy True/False questions: 300
- Difficult True/False questions: 200
- Easy Multiple Choice questions: 500
- Difficult Multiple Choice questions: 400
...