I have probability homework due tomorrow. Here's an example problem:
Two fair dice are rolled. If the digits of the dice multiply to form an even number, Player A gets 1 point. If the product is odd, Player B is the one to get 1 point. How can you make this game fair such that both players get equal chances of winning? (You can assign a point system, how many draws will there be, and how many points will players need to achieve to win. The dice cannot be made unfair.)
As I understand it, Player A has a 27/36 chance of getting a point per draw, while Player B has a 9/36 of getting a point per draw.
How can I make this game fair?