Oil co must determine whether or not to drill for oil in the South China Sea. It costs $100,000 to drill for oil. If oil is found, the revenue is estimated to be $600,000. At present, Oil co believes there is a 45% chance that the field contains oil. Before drilling, Oil co can hire (for $10,000) a geologist to obtain more information about the likelihood that the field will contain oil. There is a50% chance that the geologist will issue a favorable report and a 50% chance of an unfavorable report. Given a favorable report, there is an 80% chance that the field contains oil. Given an2 unfavorable report, there is a 10% chance that the field contains oil.