One brown bag contains 2 red marbles, 2 blue marbles, and 4 green marbles. The other black bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. You also have a biased coin that shows heads with probability 0.7 and tails with probability 0.3. If the coin shows heads, you pick a marble from the brown bag (Br) and from the black bag (Bl) otherwise. You flip the coin, pick a marble randomly, and see that it is green. What is the probability that the green marble was picked from the black bag? Use Bayes Theorem and the table below to compute p(BIG).

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Decision Tree

A decision tree is a unique kind of probability tree. A popular and powerful tool used for prediction and classification. The decision tree structure is the same as a flowchart with a tree structure. The internal node refers to the attribute test, the branch refers to the outcome of the test, and the leaf node(terminal) contains the class label.