Jump to content
BrainDen.com - Brain Teasers
  • 0

Number picking III. 15 but not a race



4 answers to this question

Recommended Posts

  • 0

I don't see a winning strategy. All the ways to get a sum of 15 from 3 digits can be represented by a magic square with the even numbers in the corners that is symmetric to the following example:




Making it effectively a game of tic tac toe, in which, if both players play ideally, there is no winner. However, assuming non-ideal play, the first player has 5 marks to the second player's 4 so he has more ways to win in case the second player makes a mistake, so I would play first...

...and get my opponent really really drunk ;P.

  • Upvote 2
Link to comment
Share on other sites

  • 0

first. i'd take the 5.

then its very difficult for player 2 to counter anything i do.

for example, if player 2 pick 3, i pick 1 then player 2 has to pick 9 to prevent me from winning.

player 2 already has the 3, so not much he can do to get 15.

player 2 picking 8 or 7 is the "best" he can do and player 1 can easily counter by picking the other one.

Link to comment
Share on other sites

  • 0

As first player you pick 5.

As second player if I pick an even number I can prevent you from winning.


You Me

5 2 (or 4 or 6 or 8)

6 4* Or you play 4. Then I play 6* and you must play 7*, etc. If you play 8 I play 4 or 6.

9* 1*

7 3*

8* --

* = forced.

Link to comment
Share on other sites

  • 0

maybe player 2 does have the advantage.

if player 1 picks 5, player 2 picks 8, player 1 picks 7.

player 2 picks 3 player 1 has to pick 4 but can't pick it as it puts him over.

if player 1 starts 7 player 2 starts 8,

maybe player 1 2, forcing player 2 to take 6, then take 1, and now player 2 has the upper hand?

Link to comment
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.


  • Recently Browsing   0 members

    • No registered users viewing this page.
  • Create New...