Using probability to make fair decisions

Dan and his fiancee 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$50, comma, 000 fans. (Assume there will be a minimum of $1$1 fan in attendance.)

(Consider a system to be fair when the probabilities of each event are equal.)

$\text{Method }1$start text, M, e, t, h, o, d, space, end text, 1: If the product of all the digits is even, they go to Alaska. If the product of all the digits is odd, they go to Hawaii.

$\text{Method }2$start text, M, e, t, h, o, d, space, end text, 2: If the last digit is even, they go to Alaska. If the last digit is odd they go to Hawaii.

$\text{Method }3$start text, M, e, t, h, o, d, space, end text, 3: If the sum of the last two digits is $1$1 - $10$10, they go to Hawaii. If the sum of the last two digits is $11$11 or greater, they go to Alaska.