Chapter 5 Project Coin Toss Game

From: Ahmad Hazelwood & Tim Goudemont

In this project, two players each toss 3 coins. If the result is exactly 2 heads, Player One wins. If the result is anything else, Player Two wins.  We have to find out if the game is fair or not. We have to create two games, one that is fair, and one that's not fair, using different types of probability games.

This is our example of a not fair game.

Is this game fair or unfair?

We think this game is unfair because player  only has 3/8 of the chance and player 2 has 5/8 of the chance to get a point.  

Unfair Game

What do you need to play this game:

  • Spinner
  • Pencil
  • Paper clip

What is the object of the game?

The object of the game is to get the most points by spinning.

Rules:

Player 1 wins if the spinner lands on red or yellow. Player 2 gets the point if the spinner lands on blue. The paper clip has a pointy side, wherever the pointy side lands, that's who gets the point.

Is this fair or unfair?

We think it is an unfair game because player 1 has more chances of winning the game. It is 4/7 of the chance that player 1 gets the point. For player 2 it is 3/7 of the chance that s/he gets the point.

Fair Game

What do you need to play this game:

  • Two dice
  • Paper
  • Pencil

What is the object of the game?

The 0bject of the game is to beat the other player with more points.

Rules:

When each player rolls the dice, s/he subtracts the smallest from the biggest. If the difference is even, player 1 gets a point,  and if the difference is odd, player 2 gets the point.

Is this game fair or unfair?

We think it is fair because player 1 has 50% of the chance winning and so does player 2. Another reason why its fair is because odd and even have the same amount of even and odd numbers.

Conclusion

Overall the two of us had a great time working together. We learned to collaborate well together. We thought making up games would be easy but it was pretty hard. We really liked playing the games together. We hoped you liked our project.