Determine the probability that a randomly selected student nad read the movie. \[ P\left(B \cap M^{\prime}\right)=\frac{59}{157} \] Determine the probability that a randomly selected student had read the book given that they had watched the movie. \[ \mathrm{P}(\mathrm{~B} \mid \mathrm{M})= \] \( \square \) Enter your next step here

To determine the probability that a randomly selected student had read the book given that they had watched the movie, we can use the formula for conditional probability: \[ P(B | M) = \frac{P(B \cap M)}{P(M)} \] We need to find \(P(M)\) in order to calculate \(P(B | M)\). Given the information that \(P(B \cap M') = \frac{59}{157}\), it implies that out of 157 students, 59 have read the book but not watched the movie. We can use either total students in the context or any additional probability values provided to complete our calculation. Using the above formula allows us to see how the knowledge of one event (watching the movie) affects the likelihood of another event (reading the book). Now, let’s summarize what we know so far and find \(P(M)\) if more data allows, or if \(P(M)\) can be directly derived from the context.