In each round of a game, you earn a dollar if a die show 1 or 2,

Question:

In each round of a game, you earn a dollar if a die show 1 or 2, you lose a dollar if a die shows 5 or 6, and you neither earn nor lose anything if a die shows 3 or 4. Let Xj be +1, -1, or 0 according to your outcome on the jth round. Let X = X1 + X2 + . . . + X10. Find the variance of X.