Question: shows a complete game tree with chance nodes (circles). Leaf nodes are to be evaluated in left to right order (as in DFS), and

shows a complete game tree with chance nodes (circles). Leaf nodes are

shows a complete game tree with chance nodes (circles). Leaf nodes are to be evaluated in left to right order (as in DFS), and before evaluated, we know nothing about the leaf's value range. 0.2 0.8 0.75 0.25 2 4 4 0 4 Figure 1: Game tree with chance nodes -1 0 (a) Compute the value of all the non-leaf nodes in the tree and find the best action for the root node. (b) Given the values of the first six leaves, do we need to evaluate the seventh and eighth leaves? Explain your answers. (c) Suppose the leaf node values are known to lie in the interval [-4, 4]. What are the leaves that need not be evaluated under this assumption.

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