Question

Your company is evaluating two projects for consideration. Project A has a 40% probability of a $3,000.00 loss and a 60% probability of a $20,000.00 gain. Project B has a 30% probability of a $5,000.00 loss and a 70% probability of a $15,000.00 gain. Which of the projects would you select based on the greatest expected monetary value?

Answer 1

We should select Project A as it has a higher expected value of 10,800 compared to Project B's expected value of 9,000.

Step-by-step explanation:

We need to find the expected value of both the projects, using the formula

Expected value of project A= (probability of loss * value of loss)+(probability of gain* value of gain)

Expected value of project A= (0.40*-3,000)+(0.60*20,000)

=-1200+12,000=10,800

Expected value of project A= 10,800

Expected Value of project B= (probability of loss * value of loss)+(probability of gain* value of gain)

=(0.30*-5,000) +(0.70*15,000)=-1500+10,500=9,000