Your friend hides A dollar bill under one of the three plastic cups. Under the other 2 cups is the paper clip. You get to keep whatever it is under the cup that you choose but you don’t know which contains a dollar bill. After you choose, your friend this one or the other cups to reveal a paper clip and then gives you the option of changing your cup should you switch to the other cup? A. Yes, because P(win | switch)=2/3
B. Yes, because P(win | switch)= 1/3
C. No, because P(win | switch)= 1/3
D. Yes, because P(win | switch)= P(win | Stay) =1/2