Dan and his girlfriend Alexa are at the New York Yankees baseball game, and they are discussing where to go on vacation this summer. Dan wants to go backpacking in Alaska, and Alexa wants to go surfing in Hawaii.
To help them make a fair decision, they will look up the exact number of fans that attended the baseball game, and then decide based on this number. At maximum capacity, the stadium holds about $50{,}000$ fans.
**Match each method for choosing a vacation spot with the correct assessment of its fairness.**
(Consider a system to be fair when the probabilities of each event are equal.)
$\text{Method }1$: If the ten thousands digit is $1$, $2$, $3$, $4$, or $5$, they go to Alaska. If the ten thousands digit is $6, 7, 8, 9,$ or $0$, they go to Hawaii.
$\text{Method }2$: If the ones digit is $1, 2, 3, 4,$ or $5$, they go to Alaska. If the ones digit is $6, 7, 8, 9,$ or $0$ they go to Hawaii.
$\text{Method }3$: If the ones digit is a perfect square, they go to Alaska. If the ones digit is not a perfect square, they go to Hawaii.
[[☃ matcher 1]]