Prove that with a positive linear transformation of leaf values (i.e., transforming a value $x$ to $ax + b$ where $a > 0$), the choice of move remains unchanged in a game tree, even when there are chance nodes.

Prove that with a positive linear transformation of leaf values (i.e., transforming a value $x$ to $ax + b$ where $a > 0$), the choice of move remains unchanged in a game tree, even when there are chance nodes.





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