Answer: Expected value = $2,250,000. Proceed with project as this is positive.
Step-by-step explanation:
Return if oil field contains 20 million barrels:
= (0.5 * 20 million) - 4 million
= 10,000,000 - 4,000,000
= $6,000,000
Return if oil field contains 5 million barrels
= (0.5 * 5 million ) - 4 million
= 2,500,000 - 4,000,000
= -$1,500,000
Both outcomes happening are equally likely so the expected value of this project is:
= (0.5 * 6,000,000) + (0.5 * -1,500,000)
= $2,250,000
Expected value is positive so you should proceed with the project.