+126 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 9 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 9 on them.
What is the expected value of the number shown if we add one additional 9 to the bag.
3. 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 9 on them.
What is the expected value of the number shown if we add two additional 9's (instead of just one) to the bag?
4. 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 9 on them.
How many 9's do we have to add to make the expected value equal to 6?
+22 I think you were trying to use LaTeX for your numbers, which is really a nice touch, but it isn't showing up.
I can try and help you... once you add in those numbers.
(It is just a liiiitttle hard to solve math problems where all the numbers are excluded.) 
+22 2. Same thing, average all the numbers with an additional 9. You will get 4.63636363636 or 51/11 .
3. Well, you know the drill by now; average! When there are two extra 9's, we get 5 as the expected value.
4. When you add 6 extra 9's you get 6 as the expected value.
:D I hope this helps you!
