Hi! I need urgent help for these questions here. They have a deadline for today and I have no idea how to solve them

(a). Suppose we have a bag with 10 slips of paper in it. Eight of these have a 2 on them and the other two have a 4 on them.

What is the expected value of the number shown when we draw a single slip of paper?

(b). Suppose we have a bag with 10 slips of paper in it. Eight of these have a 2 on them and the other two have a 4 on them.

What is the expected value of the number shown if we add one additional 4 to the bag?

(c). Suppose we have a bag with 10 slips of paper in it. Eight of these have a 2 on them and the other two have a 4 on them.

What is the expected value of the number shown if we add two additional 4's (instead of just one) to the bag?

(d). Suppose we have a bag with 10 slips of paper in it. Eight of these have a 2 on them and the other two have a 4 on them.

How many 4's do we have to add to make the expected value equal to 3?

Please remember to get to these questions! I am in an EMERGENCY situation.

5 answers

These are very interesting problems.
If you show some efforts in solving them, there would be likely to be more chances of response.
Fricking cheated.
Dude, just enroll in a easier class. You are literally asking to for people to do problems for you. Im assuming you use AoPS but if its a different website, just press the give up button. You need to actually try, not ask everyone else to do it for you.
Yeah its not that hard, because you obviously can't solve any of theese!
I am working on this too. Just read your transcript. That's what I did and it helped a lot. DON'T BE LAZY!