You roll a die. If you roll an odd number, you will receive as many dollars as the number rolled. If you roll an even number, you will lose as many dollars as the number rolled. What are your expected winnings?

E=(1/6)(1)+(1/6)(-2)+(1/6)(3)+(1/6)(-4)+(1/6)(5)+1/6(-6)

E=(1/6) (1-2+3-4+5-6)=-3/6=-1/2