3) Consider the following game tree in which the root corresponds to a MAX node and the values of a static evaluation function, if applied, are given at the leaves. MAX MAX L 2 M 3 MIN N 7 R A H T 5 V W x 10 K Y 2 2 d) Is there a different ordering of the children of the root for which more pruning would result by Alpha- Beta? If so, state the order. If not, say why not. e) Now assume your opponent chooses her move uniformly at random (e.g., if there are two moves, 1/2 the time she picke the first move and 16 the time she picks the second) when it's her turn and you

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3) Consider the following game tree in which the root corresponds to a MAX node and the values of a static
evaluation function, if applied, are given at the leaves.
MAX
MAX
L
MIN B
M N
3
R
S
0 1
7
T
5
W
x
10
K
Y
2
6
2
d)
Is there a different ordering of the children of the root for which more pruning would result by Alpha-
Beta? If so, state the order. If not, say why not.
e)
Now assume your opponent chooses her move uniformly at random (e.g., if there are two moves, ½
the time she picks the first move and the time she picks the second) when it's her turn, and you
know this. You still seek to maximize your chances of winning. What are the "backed up" values
computed at each node in this case? Write your answers to the RIGHT of each node in the tree
above.
Transcribed Image Text:3) Consider the following game tree in which the root corresponds to a MAX node and the values of a static evaluation function, if applied, are given at the leaves. MAX MAX L MIN B M N 3 R S 0 1 7 T 5 W x 10 K Y 2 6 2 d) Is there a different ordering of the children of the root for which more pruning would result by Alpha- Beta? If so, state the order. If not, say why not. e) Now assume your opponent chooses her move uniformly at random (e.g., if there are two moves, ½ the time she picks the first move and the time she picks the second) when it's her turn, and you know this. You still seek to maximize your chances of winning. What are the "backed up" values computed at each node in this case? Write your answers to the RIGHT of each node in the tree above.
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