
At the beginning, we need to put some money on the table for the gambling; that is, K in the setting.
We could call it "ante" for example.
Then, we are going to get paid 4Y and this is based on your twodice result.
We can make this game fair, by finding out a proper K.
This is certainly possible because we know the probability structure from the previous questions.
Thus, you could equate the followings: "expected" money you get paid = K.
(There would be no certain equality in our real life, so that you always have the expected money you get paid less than K when you visit Las Vegas or Atlantic City.)
