Game #3 - Key for a Car

The Game:

Six contestants get a key and try to unlock a car to win it.

How the Game is Played:

1) Player 1 chooses a key from six keys and tries the car.  If it works, Player 1 wins the car.  Key is not replaced.

2) Player 2 chooses a  key from the five remaining keys and tries the car.  If it works, Player 2 wins the car.  Key is not replaced.

3) Player 3 chooses a key from the four remaining keys and tries the car.  If it works, Player 3 wins the car.  Key is not replaced.

4) Etc...

Is this a fair game for all contestants?

How to test Practically:

To simulate this game, roll a six-sided die once to indicate the key number that wins.

Then roll for player 1 (keep track of that number).  If it is the same number as the winning key, player 1 wins.

If it isn't, then that roll is no longer a possible key so it is ignored.

Roll for player 2 until a new number is rolled (ignore any rolls the same as player 1's roll).

If it is the same number as the winning key, player 2 wins.

Etc...

Simulate the game 30 times (this will take a bit longer).

Place your results in the spreadsheet supplied by your teacher.

Simulation:

To run a computer simulation of KEY FOR A CAR, go here.