The table below shows the number of male and female students enrolled in nursing at a particular university 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.

Nursing Majors

Non-nursing majors

Total

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Males

91

1109

1200

Females

735

1639

2374

Total

826

2748

3574

(a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is ? . (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. The probability is? . (Round to three decimal places as needed.)