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Alok and Bhanu play the following min-max game. Given the
expression N = 9 + X + Y – Z where X, Y and Z are variables
representing single digits (0 to 9), Alok would like to
maximize N while Bhanu would like to minimize it. Towards
this end, Alok chooses a single digit number and Bhanu
substitutes this for a variable of her choice (X, Y or Z).
Alok then chooses the next value and Bhanu, the variable to
substitute the value. Finally Alok proposes the value for
the remaining variable. Assuming both play to their optimal
strategies, the value of N at the end of the game would be

Answer Posted / sadaf rahman

8

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