You are in a basketball 3-point contest. You have 1 regular ball, and 1 money ball left to shoot. If you make
both shots, you will get a total of 10 points. If you make just the money ball, you will get 3 points. Under
any other outcome, you will receive 0 points.
You approximate that the probability of you making the regular shot is 60% and the probability of you
making the money ball is 70%. You assume that each shot is independent.
What is the expected number of points you will score?