Alok and Bhanu play the following min-max game. Given the
expression
N = 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
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Answer Posted / praveen
here alok try to maximize the value (0 to 9) so he says
0.then bhanu will substitute it for x or y or z.then N may
either of N=x-y or N=y-z or N=x-z.
next alok need to select value so he thinks to maximize the
value.when he select 6 bhanu will substitute it then N will
be either x-6 or 6-y.then if alok select value 1 will get -5
or 5.if he select 9 N will be 3 or -3.when if 5 is selected
x-5 or 5-z. then possible maximum value is 4 or -4.so 4 will
be answer because if 5 is selected probability of getting 4
is high.so alok need to maxize N will select 5.
-----guys if found this answer wrong.please post your answer.
| Is This Answer Correct ? | 7 Yes | 13 No |
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