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-   -   GROOVY math game!! (http://www.physicsforums.com/showthread.php?t=17691)

 Imparcticle Apr2-04 07:05 PM

GROOVY math game!!

Aloha!

When we have nothing better to do in my math class, my teacher likes to play this game that I'm going to tell you about. Ok, this is how it works. One person picks a number. In my class, we always make it a 3 digit number, but I suppose you smart alleck physics people could do for more complex numbers? Or should we keep it simple? How about the person picking the number says the number of digits of the number.
Anywho, the other players guess what the number is, and the person who picked the number catagorizes the guessed numbers in the following fashion:

Quote:
 The guessed #---------# of #s correct------# of # in the correct place
And by utilizing their logical deduction abilities, the player can guess the correct number. The player who guesses the correct number can come up with his or her own number for everyone else to guess.

To prevent anyone from cheating, (and changing the number while everyone is still guessing) I suggest the "number-picker" tells the number to a certain amount of people. Does anyone have a suggestion concerning this rule?

 tribdog Apr2-04 08:22 PM

I"m not sure how this game is played but I'm game. I'll start out with a little number to get the hang of it. I'm thinking of a one digit number between 0 and 2. I'll give you 3 guesses.

 dduardo Apr2-04 08:55 PM

no no no, tribdog you got it all wrong. Here is how the game is played.

Say I pick the number 1234

Now someone guesses the number to be 1993

I will reply by saying one digit is in the right position and one digit is in the number but not in the right position

Then someone else will guess 1239

I will then reply by saying three digits are in the right place

Finally someone else will guess 1234

I will then reply by saying you correctly guessed the number

------------------------------

Ok, i've written down an eight digit number, let the guessing commence.

 chroot Apr2-04 09:14 PM

Since when is there nothing better than this to do in MATH CLASS?

- Warren

 tribdog Apr2-04 09:26 PM

I guess you need to be a real "Mastermind"tm to figure this one out right?

 dduardo Apr2-04 09:28 PM

Quote:
 Quote by tribdog I guess you need to be a real "Mastermind"tm to figure this one out right?
yay, you figured out what the game is called. :)

 tribdog Apr2-04 09:37 PM

I'm sure there is a strategy I should use, but I don't know what that strategy is so I'll just guess a number. If I get it right on the first guess though I want a dollar.

87609548

 Hurkyl Apr2-04 10:19 PM

IIRC, there's a fixed sequence of guesses you can make that will allow you to name the answer on the next try, and I think in a minimal average number of tries too.

 tribdog Apr3-04 12:17 AM

oh, I can give the answer on the next try, but not the correct answer. or maybe I can. is the answer 32?

 dduardo Apr3-04 07:52 AM

Quote:
 Quote by tribdog I'm sure there is a strategy I should use, but I don't know what that strategy is so I'll just guess a number. If I get it right on the first guess though I want a dollar. 87609548
5 digits are in the wrong position

 tribdog Apr3-04 11:19 AM

12345687 ?

 dduardo Apr3-04 12:29 PM

7 digits are in the wrong position

 Imparcticle Apr3-04 01:09 PM

You also have to say how many numbers are correct in addition to how many are in the correct place.

87609485?

 dduardo Apr3-04 01:26 PM

5 in the wrong position
0 in the correct position (Same for above responses)

 Imparcticle Apr3-04 09:00 PM

How many numbers are in this mystery number?

guesses:

78609458
67809548
07685984

 tribdog Apr4-04 05:03 AM

lol, you all know I shouldn't be the one guessing because I'm not going to take it seriously and I'll turn it into a joke. but since I've already started guessing I'll keep going. my next guess is:

87609485

 dduardo Apr4-04 09:27 AM

SquareItSalamander,

1. 5 correct digits, 0 in the right place
2. 5 correct digits, 0 in the right place
3. 5 correct digits, 0 in the right place

Tribdog

5 correct digits 0 in the right place

 Imparcticle Apr5-04 01:35 AM

aloha!

Can you PLEASE say how many numbers there are in the mystery number? PRETTY PLEASE WITH A CHERRY ON TOP? WITH WHIPPED CREAM ON TOP OF THE CHERRY ON TOP OF THE PRETTY PLEASE?? :frown: :redface: :tongue: :confused: :wink: :biggrin: :smile:

aNy WhO, hErE aRe mY GuEsSeS:
78690458
86794085
67804958
55913847
44522736

aNd To TaKe On mOrE dEsPeRaTe MeAsUrEs....
111111111
222222222
333333333
444444444
555555555
666666666
777777777
888888888
999999999

:biggrin: :wink: :cool:

I bet I got pretty darn close this time, eh?

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