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Alok and Bhanu play the following min-max game. Given the expression N=46+X+Y-Z, where X,Y and Z are variables representing single digits (0 to 9) Alok woul like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitues this for a variable of her choice (X, Y or Z) Alok then chooses the next value and Bhanu the Variab le to substitute the value. Finallyu 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
37
57
64
55
Read Solution (Total 7)
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- N=46+X+Y-Z
N=46+11=57(X+Y-Z=11) - 13 years agoHelpfull: Yes(21) No(2)
- for x+y-z put it as 11. therefore 46+11=57.
- 13 years agoHelpfull: Yes(9) No(2)
- why X+Y-Z=11 ???? plz explain
- 10 years agoHelpfull: Yes(9) No(0)
- 55
as N=46+X+Y-Z AND ALOK WANT TO MAXIMIZE N
SO he will chose X as 9
then bhanu will chose y as 0
finally alok will chose Z as 0.(as repition is allowed)
so N=46+9+0-0
N=55 - 13 years agoHelpfull: Yes(6) No(24)
- Actually only Alok chooses nos
So he wants to max. the nos
since there are two +ve and 1 -ve sign he will definately choose 9,9
since maximum of x+y-z can be obtained only from that way
so
46+9+9-9=55 - 9 years agoHelpfull: Yes(2) No(0)
- n=46+9+9-7
=57
- 9 years agoHelpfull: Yes(0) No(0)
- According to x+y-z=11
N=46+11
N=57 - 8 years agoHelpfull: Yes(0) No(0)
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