Counting and Probability

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.

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  1. These are very interesting problems.
    If you show some efforts in solving them, there would be likely to be more chances of response.

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  2. Fricking cheated.

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  3. 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.

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  4. Yeah its not that hard, because you obviously can't solve any of theese!

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  5. I am working on this too. Just read your transcript. That's what I did and it helped a lot. DON'T BE LAZY!

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