Jason inherited a piece of land from his great-uncle. owners in the area claim that there is a 45% chance that the land has oil. jason decides to test the land for oil. he buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. what is the probability that the land has no oil and the test shows that it has oil?

45% chance that the land has oil

then
55%chance that the land not have oil

80% accuracy rate of indicating oil in the soil. (if land does have oil)
20% accuracy rate of indicating not oil in the soil. (if land does have oil)

20% accuracy rate of indicating oil in the soil. (if land has not oil)
80% accuracy rate of indicating not oil in the soil. (if land has not oil)

 that the land has no oil55%
 the test shows that it has oil 20%
then 0.55*0.20=0.11=11%
the probability that the land has no oil and the test shows that it has oil is 11%