Aprivate detective figures that he has a one in ten chance of recovering stolen property for his

C) The expected value is -$2000, so the detective should not take the job.

Step-by-step explanation:

The expected value is the sum of products of income and probability:

E = -10,000·1.00 + 80,000·0.10 = -10,000 +8,000 = -2,000

The detective can be expected to lose money on the job, so should not take it.

4:1

Well not much to explain tbh it’s kinda obvious.