Question

Three people play a game on each spinner in the previos problem.

* Player 1 scores a point if the pointer lands on 1.

* Player 2 scores a point if the pointer lands on 2.

* Player 3 scores a point if the pointer lands on 3.

a. On which spinner(s) is the game a fair game? Explain.


b. Choose a spinner that you think doesn't make a fair game. Then, change the scoring rules to make the fair by assigning different points for landing on different numbers. Explain why your point system works. ​

Answer 1

Explanation:

All other things being equal, spinner A is fine. It is a fair spinner.

Spinner B is not fair. Players 1 and 3 have only 1 number each. Player 2 on the other hand, has 2 numbers that work for him. If player 2 puts in two dollars and players 1 and 3 one dollar each, that should even up the odds. Now you want it just to be fair. So I think player 2 has to put up 2 dollars and players 1 and 3 each put up one. The pot is 4 dollars each time it is played.

Spinner 3 is not fair either. Player one has 2 chances. Player 2 has 3 chances and player 3 has but one chance. There are 6 chances in all. Player 1 should put up 2 dollars to play player 1 should put up 3 dollars and player 1 should put up 1 dollar.