Consider the experiment of simultaneously tossing a fair coin and rolling a fair die. Let X denote the number of heads showing on the coin and Y the number of spots showing on the die.

Question

a. List the outcomes in S.
b. Find Fx,y(1,2).

Part a is easy. It's part b that I don't understand. The answer given in the book is 4/12 but I don't see how they got that.

Answer 1

If you got part (a) then you know all possible outcomes.

How many of those show 1 head and 2 spots?

I don't see how 4/12 is the answer either, unless F(1,2) means at least 2 spots. Even that would be 5/12.