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$\frac{5}{9}$

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(A) The given data can be tabulated as follows:TypeTrue / False | Multiple Choice | TotalEasy$300$ | $500$ | $800$Difficult$200$ | $400$ | $600$Total$500$ | $900$ | $1400$Let $E$ be the event that the question is easy and $M$ be the event that the question is a multiple choice question.Total number of multiple choice questions $= 900$.Number of easy multiple choice questions $= 500$.We need to find the conditional probability $P(E | M)$,which is the probability that the question is easy given that it is a multiple choice question.Using the formula for conditional probability:$P(E | M) = \frac{n(E \cap M)}{n(M)}$Where $n(E \cap M)$ is the number of easy multiple choice questions and $n(M)$ is the total number of multiple choice questions.$P(E | M) = \frac{500}{900} = \frac{5}{9}$.Therefore,the required probability is $\frac{5}{9}$.

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