A law firm in Sana'a employs 8 lawyers, 6 have expertise in employment law and 5 have expertise in company law, 1 is expert in neither area. If you meet one of these lawyers randomly, what is the probability that they are an expert in company law and not employment law?

Question

Quizplus · Accepted Answer

Given that 1 lawyer is an expert in neither area, we have 7 lawyers left who are experts in at least one area. Since 6 are experts in employment law, this leaves 1 lawyer who is an expert in company law but not in employment law (since 5 are experts in company law, and we can assume the overlap with employment law experts is 4 to make the numbers work). Therefore, the probability is 1 out of 8, or 0.125.

A Law Firm in Sana'a Employs 8 Lawyers, 6 Have