Vera has challenged Alexey to a round of Marker Mixup. Marker Mixup is a game where there is a bag of 5 red markers numbered 1 through 5, and another bag with 5 green markers numbered 6 through 10.
Alexey will grab 1 marker from each bag, and if the 2 markers add up to more than 12, he will win $5. If the
sum is exactly 12, he will break even, and If the sum is less than 12, he will lose $6.
What is Alexey's expected value of playing Marker Mixup?