1. Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 8 on them. What is the expected value of the number shown when we draw a single slip of paper?
2. Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 8 on them. What is the expected value of the number shown if we add one additional 8 to the bag.
1) 8/10 of the slips have a 3 on them while 2/10 of the slips have an 8 on them. This means it's most likely that the number 3 will be drawn.
2) Now there are 8/11 slips that have a 3 on them while there are 3/11 slips that have an 8 on them. This still means that the number 3 will most likely be drawn.