Question: A forest has two types of trees: Artisticus and Boringicus. The timber from Artisticus tree is highly prized by wood carvers because the grain of the timber allows them to make beautiful wood carvings. The timber from Boringicus not only makes boring wood carvings, but it tends to break the carving tools, so it is very undesirable,50% of the trees in the forest are Artisticus trees. However, It is very difficult to tell the difference between the trees without chopping them down and examining the timber itself. Recently all of the trees in the forest have become infected by a disease. The probability that the disease will turns all of the leaves on Artisticus trees brown is 0.82. The probability that the disease will turn all of the leaves on Boringicus trees brown is 0.16. What is the probability that a random tree in the forest will have brown leaves? (Answer to 3 decimal places). What is the probability that a tree in the forest that has brown leaves will be an Artisticus tree? (Answer to 3 decimal places). Both of your answers should be between 0 and 1.0

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