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Math Help - Card Game With Replacement

  1. #1
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    Talking Card Game With Replacement

    I'm studying for an EOCT and there is a question on the study guide this one has me stumped. I "get" how to figure general probability questions, but I can't wrap my head around this one due to the number of variables. If you could provide the formula you use and any explanation you are willing to share I would be so, so appreciative.



    IN a game a player draws and replaces a card form a deck 2 times. The possible outcomes and payouts are shown. If Jim plays the game 50 times what is his expected value for all the games combined?

    Red, Red $12
    Black, Black -$5
    Red, Black $0
    Black, Red $5
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  2. #2
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    find the expected value for one game, then multiply it by 50. Post again if you dont understand why that works.
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  3. #3
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    Thanks SpringFan25..... That worked and I do understand why. I was trying to overcomplicate it since I didn't have any potential loss values.
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