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Math Help - expected value marbles

  1. #1
    Newbie
    Joined
    Oct 2008
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    13

    expected value marbles

    question:

    We have 10 marbles in a bag: 5 red, 3 blue, 2 yellow. We randomly pull two marbles without replacement. If we pull two yellow marbles, we receive $20. If we pull two blue marbles, we receive $10. If we pull two red marbles, we receive $5. If we pull two marbles of different colors, we pay $4. Find the expected value of this game.

    I won't try to explain how but I came up with: -8/15

    Anyone else?
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  2. #2
    Senior Member
    Joined
    Nov 2008
    Posts
    461
    Same here

    E(X) = 2/90*20$ + 6/90*10$ + 20/90*5$ - 62/90*4$ = -8/15$
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