(Solution) - The table shows the number of male and female students -(2025 Original AI-Free Solution)

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The table shows the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences Center for a recent semester.

(a) Find the probability that a randomly selected student is male, given that the student is a nursing major.
(b) Find the probability that a randomly selected student is a nursing major, given that the student is male.