Freyja and Aila play a game where they take turns to roll two six sided dice at
the same time and add the number of dots. They have each chosen a prime
number, and the probabilities for Freyja's prime number are the same as for
Aila's prime number. Freyja throws first. The winner is the one who throws their
prime number first.
What is the probability that Aila wins after Ailas first roll?