I was wondering how you can get (RfM) as -0.5, -0.5
I got RrP by [(1, -1) + (1, -1)] / 2
Here is the picture of the problem:
Picture on the left: card game in extensive / tree form
picture on the right: card game in strategic form / normal representation


RfM: with probability 0.5 you get (2,-2) and with probability 0.5 you get (-1,1)
then, the expected outcome is (1,-1)+(-1/2,1/2)=(1/2,-1/2) as you pointed in your solution
I don't see any mistake in your solution