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Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true?
1)In order to win, Alice should pick 14 chips on her first turn.
2)In order to win, Alice should pick two chips on her first turn.
3)In order to win, Alice should pick one chip on her first turn.
4)Alice has no winning strategy.
Read Solution (Total 6)
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- Alice should pick two chips on her first turn......
- 13 years agoHelpfull: Yes(9) No(2)
- Alice should pick two chips on her first turn..because if alice picks 2 chips then bob can pick 1 or 2 chips. if bob picks 2 alice on her next turn should pick 2 and not one .after that turn if bob picks one alice should pick 1,then bob picks 1,alice 1,bob 1,.........if this goes on alice wins.if bob picks 1 in his first turn alice will surely win.
- 12 years agoHelpfull: Yes(5) No(0)
- ans shud be no winning strategy...because if alice picks 2 chips then bob can also pick 2..if this goes on bob wins..if alice picks 1 then bob has to pick 1 in this way also bob wins..if alice picks 2 bob 1,then only alice can win...but it is not a compulsion for bob to pick 1...hennce alice has no winning strategy
- 13 years agoHelpfull: Yes(4) No(6)
- alice has no winning strategy
- 12 years agoHelpfull: Yes(2) No(0)
- To win Alice should pick two chips on her first turn
- 12 years agoHelpfull: Yes(0) No(0)
- alice has no wining strategies.
- 12 years agoHelpfull: Yes(0) No(1)
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