2. Consider the following game tree with MAX nodes (upward pointing triangles), MIN nodes (downwardpointing triangles and chance nodes (circles). The leaf nodes represent the profit made by MAX if thegame ends up in that leaf node. MIN is a logical agent and tries to minimize the profit of MAX. Chancenodes represent a “not-fair" coin, going left with 0.3 and right with 0.7 probability.a. Compute the expected minimax value for each node in the game tree. Write you answer into thefigure.b. What are the possible outcomes of playing this game when both players are logical agents andwhat are the probabilities of these outcomes occurring?MAXMINBet=0.3Bate-0.76 1 5 3 7 2 8 4

Solution a) Here is the Max-Min value for the game tree mentioned below.

Answered: Compute the expected minimax value for…

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Compute the expected minimax value for each node in the game tree. Write you answer into the figure.

Computer Networking: A Top-Down Approach (7th Edition)

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ISBN:9780133594140

Author:James Kurose, Keith Ross

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Chapter1: Computer Networks And The Internet

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Question

2. Consider the following game tree with MAX nodes (upward pointing triangles), MIN nodes (downward
pointing triangles and chance nodes (circles). The leaf nodes represent the profit made by MAX if the
game ends up in that leaf node. MIN is a logical agent and tries to minimize the profit of MAX. Chance
nodes represent a “not-fair" coin, going left with 0.3 and right with 0.7 probability.
a. Compute the expected minimax value for each node in the game tree. Write you answer into the
figure.
b. What are the possible outcomes of playing this game when both players are logical agents and
what are the probabilities of these outcomes occurring?
MAX
MIN
Bet=0.3
Bate-0.7
6 1 5 3 7 2 8 4

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