1. Two students Jeff (male student) and Stephanie (female student) play a game using two coins, Coin A and Coin B. Jeff decides the probability of Coin A landing on heads. Stephanie decides the probability of Coin B landing on heads. The payouts of the game are as follows:

If Coin A and Coin B are both heads - Jeff wins $3 from Stephanie

If Coin A and Coin B are both tails - Jeff wins $1 from Stephanie

If Coin A and Coin B are either heads and tails or tails and heads - Stephanie wins $2 from Jeff.

1A. Is this a fair game?

1B. Who (male students or female students) will win the most money in the long run? If you are a female student, what is the strategy to win in a long run?