assigned the following prio? An oil company purchased an option on Land in Alaska. Preliminary geologic studies assigned the following prior probabilities:

P(high-quality oil) = .3

P(medium-quality oil)=.3

P(no oil)=.4

After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test follow:

P(soil | high-quality oil) = .2

P(soil | medium-quality oil) = .7

P(soil | no oil)=.3

What is the new probability of finding oil?