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?

Question

$\begin{array}{1 1} \frac{5}{9} \\ \frac{4}{9} \\ \frac{1}{3} \\ \frac{2}{3} \end{array}$