Question

1. answer the questions for game a:

a. what is the probability of player 1 winning?
b. what is the probability of player 2 winning?
c. what is the probability of playing again?
d. is this game fair? explain your answer.

Explanation:

Part d:

A fair game requires that all players have an equal probability of winning. Here, Player 1 has a winning probability of $\frac{1}{4}$, Player 2 has a winning probability of $\frac{1}{2}$, and these probabilities are not equal ($\frac{1}{4}
eq\frac{1}{2}$). So, the game is not fair because the players do not have the same chance of winning.

Answer:

No, the game is not fair. Player 1 has a $\frac{1}{4}$ chance of winning, while Player 2 has a $\frac{1}{2}$ chance of winning. Since their winning probabilities are not equal, the game is unfair.