An instructor has a question bank consisting of 300 easy True / False questions. 200 difficult True / False questions. 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question 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 randomly selected question is an easy question given that it is a multiple choice question. We will denote:

- \( E \): the event that a question is easy.
- \( MC \): the event that a question is a multiple choice question.

### Step-by-Step Solution:

1. **Identify the Total Number of Questions**:
...