Question

He 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.

Answer 1

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

 total nursing Majors  (male+female)--------98+741=839

Total males  nursing Majors ---------------------98

 P=98/839=0.1168=11.68%

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

 total nursing Majors  (male+female)--------98+741=839

Total males  --------------------------------------1151

 P=98/1151=0.0851=8.51%