BrainDen.com - Brain Teasers
• 0

# Make 15

## Question

Two players take turns naming numbers from 1 to 9. Players may not name numbers that have already been named. If at any point, three of the numbers named by one of the players adds up to exactly 15, that player wins. If neither player has won after all 9 numbers have been named, the game is declared a tie.

Who has the advantage in this game? There is a very clever way of answering this.

## Recommended Posts

• 0

this is a game of tic-tac-toe on a magic square, so if both players play correctly the game will always end in a tie.

P.S. I remember this being posted on this forum not that long ago, but couldn't easily find the earlier post

##### Share on other sites

• 0

with 5

e.g.
1st. 5
2nd 1
1st 5, 2 ( 5+2=7...he needs 8)
2nd 1,8 to prevent the 1st player to use it...( 1+8=9... the 2nd player needs 6 )
1st 5,2,6 to block the 15 for the 2nd...( 5+2+6=13... he needs 2)
2nd 1,8,2 blocking the 15 for the 1st.
1st 5,2,6,4 and wins because(5+6+4= 15)
The same will be true for all other numbers choosed by the 2nd. player and the 1st. player will win
##### Share on other sites

• 0

Are the two lists separate?  I interrupted the OP to mean one mega list with whoever identifies the number that makes 15 (from 2 additional numbers) is the winner.

##### Share on other sites

• 0

however in the latter case, I would still start at 5 as then I would force a winning combination no matter what player number 2 does.

##### Share on other sites

• 0

this is a game of tic-tac-toe on a magic square, so if both players play correctly the game will always end in a tie.

P.S. I remember this being posted on this forum not that long ago, but couldn't easily find the earlier post

Oh whoops. Sorry about that. :/

## Join the conversation

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

×   Pasted as rich text.   Paste as plain text instead

Only 75 emoji are allowed.

×   Your previous content has been restored.   Clear editor

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