Peter, Austin, Jason, and Matt each want a different type of pizza. To help them make a decision, Peter pulls out a standard deck of $52$ playing cards. There are four suits of $13$ cards each: spades, clubs, diamonds, and hearts. Spades and clubs are black, while diamonds and hearts are red. **Match each method for deciding who orders the pizza with the correct assessment of its fairness.** (Consider a system to be fair when the probabilities of each event are equal.) $\text{Method }1$: Two cards are chosen together and looked at one at a time. If they are both red, Peter decides. If they are both black, Austin decides. If the first card is black and the second card is red, Jason decides. If the first card is red and the second card is black, Matt decides. $\text{Method }2$: One card is chosen. If it is a spade, Peter decides. If it is a club, Austin decides. If it is a diamond, Jason decides. If it is a heart, Matt decides. $\text{Method }3$: Cards are repeatedly drawn and then discarded until a spade is drawn. If a spade is drawn on the first try, Peter decides. If a spade is drawn on the second try, Austin decides. If a spade is drawn on the third try, Jason decides. If it takes $4$ or more tries to get a spade, Matt decides. [[☃ matcher 1]]