What is the perfect strategy for each player in this 2 by 4 array game?

  • Thread starter JimBob81345
  • Start date
In summary, the perfect strategy for each player in this 2 by 4 array game is to carefully consider their opponent's moves and make decisions based on the position of the game board. It is important to prioritize capturing the center square and creating diagonal lines, while also blocking your opponent's potential diagonal lines. Players should also be aware of the possibility of a draw and adjust their strategy accordingly. Overall, a combination of offensive and defensive tactics is crucial for success in this game.
  • #1
JimBob81345
My teacher gave our class this problem to do
Two players take turns placing an unused number from
{1; 2; 3; 4; 5; 6; 7; 8} into one of the empty squares in a 2 by 4 array. The game ends once all the squares are tiled. The 1st player wins if the product of the numbers in the top row is greater. The second
player wins if the product of the numbers in the bottom row is greater. What is the perfect strategy for each player.
Please help me, if you cannot provide the answer please give me a hint. This problem has been bugging me for so long.
 
Physics news on Phys.org
  • #2
Hello and welcome to PF!

This problem belongs in our homework section. Please repost it in
https://www.physicsforums.com/forums/precalculus-mathematics-homework.155/

There will be a template inserted (automatically) which you should fill out, esp. part (3), so we can see, what your thoughts have been so far and where you might have problems. I leave this here, so you can copy and paste parts of your text. Thanks.
 

Similar threads

A A game of seemingly mutually independent events
    • Set Theory, Logic, Probability, Statistics
Replies
7
Views
1K
Perfect Stategy -- Placing picked numbers on two rows of a game
    • Precalculus Mathematics Homework Help
Replies
6
Views
2K
B Which probability calculation is "more correct" in Baccarat games?
    • General Math
Replies
9
Views
2K
You sports people: methods for qualifying (for darts, in this case)
    • General Discussion
Replies
12
Views
968
I Creating a fair playing field for an odd number of players
    • General Math
Replies
6
Views
2K
MHB Gambling Strategy Help: Win 90% of 4 Round Games
    • Set Theory, Logic, Probability, Statistics
Replies
1
Views
980
I The Sub Photon Sphere Escape Game
    • Special and General Relativity
Replies
8
Views
990
Probability: Dice Game between 20- and 12-sided dice with re-rolls
    • Precalculus Mathematics Homework Help
Replies
2
Views
1K
MHB Winning Strategy for "The Connected Game
    • General Math
Replies
1
Views
1K
I What is the correct expectation value for this game with redraw?
    • Set Theory, Logic, Probability, Statistics
Replies
3
Views
996

Hot Threads

Recent Insights

Back
Top