The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. (a) Find the probability that a randomly selected student is male, given that the student received a business degree.

(b) Find the probability that a randomly selected student received a business degree, given that the student is female.

stats
Business degrees first number
Nonbusiness degrees second number
Total third number

Male
180 890
600771
781661
Female
161745
894460
1 056205
Total overall
342635
1495231
1837866