Question: Consider the following game tree, which has min (down triangle), max (up triangle) and expectation (circle) nodes: Figure 1: Game Tree a) In figure 1,

Consider the following game tree, which has min (down triangle), max (up triangle) and expectation (circle) nodes: Figure 1: Game Tree a) In figure 1, label each tree node with its value. b) If we knew the values of the first six leaves (from left (bottom level)), would we need to evaluate the seventh and eighth leaves to determine the value of the Max node? Why or why not? c) Suppose the values of leaf nodes are known to be in the range [-10, 10], inclusive. Assume that we evaluate the nodes from left to right in a depth first manner. Can we now avoid expanding the whole tree? If so, why? Identify all nodes that would need to be evaluated

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