Question 867113
E[X] = (Probability of Winning)*(Value of Winning) + (Probability of Losing)*(Value of Losing)



E[X] = (0.02)*(200) + (0.98)*(-18)



E[X] = (4) + (-17.64)



E[X] = -13.64



Her expected value is <font color="red">-13.64 dollars</font>



So she expects to lose $13.64 every time she plays (this is on average).