
Algebra PreAlgebra and Basic Algebra Math Forum 
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July 31st, 2012, 09:45 AM  #1 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,444 Thanks: 946  OK Albert...let's PLAY!
B1 3 B2 8 B3 11 So boxes contain 3,8,11. Same rules: pick at least 1, whoever picks last one wins..... I say: Ok Albert, YOU start... OK, make your pick, and post result; like, if you take 4 from B2, then post: I took 4 from B2: B1 3 B2 4 B3 11 I'll then pick, and post similarly....OK?! 
July 31st, 2012, 10:38 AM  #2 
Senior Member Joined: Jun 2011 Posts: 164 Thanks: 0  Re: OK Albert...let's PLAY!
Well, I don't feel like solving this for another two hours , since we all know the strategy, let's just watch for fun: *To The Crowd" "Ladies and Gentlemen, welcome to today's game play of 'picking marbles from boxes', this match will be between Denis and Albert, two great mathematicians of The MMF. The prize to the winner of this match, uhh... Be all the imaginary marbles and boxes! The start position is: 3 marbles in box 1, 8 marbles in box 2, and 11 marbles in box 3 Denis, being a great gentlemen, gives Albert the first pick. Is Albert going to take his advantage and win this game? Or is Denis going to win against all odds? Stayed tuned!" 
July 31st, 2012, 10:58 AM  #3 
Senior Member Joined: Feb 2012 Posts: 628 Thanks: 1  Re: OK Albert...let's PLAY!
I don't remember the strategy for playing Nim, which is what this game is.

July 31st, 2012, 11:04 AM  #4  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,444 Thanks: 946  Re: OK Albert...let's PLAY! Quote:
 
July 31st, 2012, 06:38 PM  #5 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  Re: OK Albert...let's PLAY!
Denis : B1 3=3 B2 8=3+5 B3 11=5+6 ' TO THIS QUESTION (NUMBERS OF MARBLES IN THE THREE BOXES) IF THE RULE IS THE SAME AS I POST (AND IF BOTH UNDERSTAND THE STRATEGY,THE PERSON PICKS FIRST WILL ALWAYS WIN) TAKES "6" AWAY FROM B3 B1 3=3 B2 8=3+5 B3 5=5 NOW THE PERSON PICKS FIRST WINS ! 
July 31st, 2012, 08:03 PM  #6  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,444 Thanks: 946  Re: OK Albert...let's PLAY! Quote:
in this case, whoever picked first (YOU) loses; I was kinda having fun. I sent: 0011 : 3 1000 : 8 1011 : 11 ===== 2022 : so I was sure of winning by letting you start  
July 31st, 2012, 08:17 PM  #7 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  Re: OK Albert...let's PLAY!
To this kind of game ,If the rules made clearly (AND IF BOTH UNDERSTAND THE STRATEGY) then before the game starts ,who will be the winner ,it is already known . 
July 31st, 2012, 08:35 PM  #8  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,444 Thanks: 946  Re: OK Albert...let's PLAY! Quote:
But you can have fun playing with someone who never played before  
August 1st, 2012, 09:45 AM  #9  
Senior Member Joined: Jun 2011 Posts: 164 Thanks: 0  Re: OK Albert...let's PLAY! Quote:
Then you win every game, but they will continue playing (most likely) because they won the first game and will not think you know the strategy, until you win six or seven games in a row And I think this is a good way to use 10 minutes of your life Also, play a game of starting position being 21,27,32, I don't know who wins, but I think this strategy might not work for the first few moves  
August 1st, 2012, 10:18 AM  #10  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,444 Thanks: 946  Re: OK Albert...let's PLAY! Quote:
SETUP: 010101 : 21 (B1) 011011 : 27 (B2) 100000 : 32 (B3) ======= 121112 You take 18 from B3: 010101 : 21 (B1) 011011 : 27 (B2) 001110 : 14 (B3) ======= 022222 : so now you're sure to win! (hope Albert is proud of me!)  

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