6.1 Artificial IntelligenceHomework 2Problem 1. Games of Chance.Consider the following game tree, which has min (down triangle), max (up triangle) and expectation(circle) nodes:MaxChance0.60.4 0.50.5MinXXXX8 10 3 4 -24 04Figure 1: Game Treea) In figure 1, label each tree node with its value.b) In figure 1, circle the edge associated with the optimal action at each choice point.c) If we knew the values of the first six leaves (from left), would we need to evaluate the seventhand eighth leaves? Why or why not?d) Suppose the values of leaf nodes are known to be in the range [-10, 10], inclusive. Assumethat we evaluate the nodes from left to right in a depth first manner. Can we now avoidexpanding the whole tree? If so, why? Identify all nodes that would need to be evaluated.

Answered: Image /qna-images/answer/c27249be-e291-426a-9eca-388ffae6cfaa.jpg

Answered: Homework 2 Problem 1. Games of Chance.…

Homework 2 Problem 1. Games of Chance. Consider the following game tree, which has min (down triangle), max (up triangle) and expectation circle) nodes: Max Chance 0.6 0.4 0.5 Min XXX 0.5

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.

Question

6.1

Artificial Intelligence
Homework 2
Problem 1. Games of Chance.
Consider the following game tree, which has min (down triangle), max (up triangle) and expectation
(circle) nodes:
Max
Chance
0.6
0.4 0.5
0.5
Min
XXXX
8 10 3 4 -24 04
Figure 1: Game Tree
a) In figure 1, label each tree node with its value.
b) In figure 1, circle the edge associated with the optimal action at each choice point.
c) If we knew the values of the first six leaves (from left), would we need to evaluate the seventh
and eighth leaves? Why or why not?
d) 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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