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SM City Cebu has been the target of many shoplifters during March, but owing to increased...

SM City Cebu has been the target of many shoplifters during March, but owing to increased security measures, 250 shoplifters were caught. Below is the summary of some characteristics of the shoplifters.

Sex First-time offender Repeat offender Total

Male 85 60 145

Female 64 41 105

Total 149 101   250

Assuming that the shoplifter was chosen at random, what is:

(a) The probability that the shoplifter is female?

(b) The probability that the shoplifter is a female, given that he is a repeat offender?

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