Friendly's Departmental Store has been the target of many shoplifters during the past month, but owing to increased security precautions, 250 shoplifters have been caught. The gender of each shoplifter is noted. It was also noted if the perpetrator was a first-time or repeat offender. The data are summarized in the table:

Sex

First-Time offender

Repeat Offender

Male

60

70

Female

44

76

104

146

Assuming that an apprehended shoplifter is chosen at random, find:

a.The probability that the shoplifter is male

b.The probability that the shoplifter is a first-time offender, given that the shoplifter is a male.

c.The probability that the shoplifter is female, given that the shoplifter is a first-time offender.