Compare the rules of two games.

Game A: Two six-sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the product of the numbers on the dice is even.Player 2 gets a point if the product is odd.

Game B: Two six-sided dice are thrown.The numbers on the dice determine which player gets a point.Player 1 gets a point if the sum of the numbers on the dice is even.Player 2 gets a point if the sum is odd.

Which statement accurately describes whether these games are fair?

A: Game A is fair, and Game B is not fair.

B: Neither Game A nor Game B is fair.

C: Both Game A and Game B are fair.

D: Game A is not fair, and Game B is fair.