Shamrock Oil owns a parcel of land that has the potential to be an underground oil field. It will cost $500,000 to drill for oil field. If oil does exist on the land, Shamrock will realize a payoff of $4,000,000(not including drilling costs). With current information, Shamrock estimates that there is a 0.2 probability that oil is present on the site. Shamrock also has the option of selling the land as is for $400, 000, without further information about the likelihood of oil being present. A third option is to perform geological tests at the site, which would cost $100,000. There is a 30% chance that the test results will be positive, after which Shamrock can sell the land for $650,000 or drill the land, with a 0.05 probability that oil exists. Using a decision tree, recommend a course of action for Shamrock Oil.
Shamrock Oil owns a parcel of land that has the potential to be an underground oil field. It will cost $500,000 to drill for oil field. If oil does exist on the land, Shamrock will realize a payoff of $4,000,000(not including drilling costs). With current information, Shamrock estimates that there is a 0.2 probability that oil is present on the site. Shamrock also has the option of selling the land as is for $400, 000, without further information about the likelihood of oil being present. A third option is to perform geological tests at the site, which would cost $100,000. There is a 30% chance that the test results will be positive, after which Shamrock can sell the land for $650,000 or drill the land, with a 0.05 probability that oil exists. Using a decision tree, recommend a course of action for Shamrock Oil.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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