For heads the die results are: 1, 2, 3, ..., 6.

For tails the die results are: 2, 4, 6, ..., 12.

Now make a table where X is the result and find the probability

X p(X)

1 1/12

2 2/12

3 1/12

4 2/12

5 ...

6 ...

8 ...

10 ...

12 ...

Fill in the rest, what do you get?

After this we can find E(X) & Var(x)