Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win

Question

Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win $50. If you draw 3 black cards, you win $25. For any other draws, you win nothing.If the game costs $5 to play, what is the expected value?

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Everleigh 2 weeks 2021-11-20T12:48:45+00:00 1 Answer 0 views 0

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    2021-11-20T12:49:54+00:00

    Answer: −1.409

    Step-by-step explanation:

    Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013

    Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118

    Probability of other draw: 1 – 0.013 – 0.118 = 0.869

    0.013 * (50 – 5) = 0.585

    0.118 * (25 – 5) = 2.353

    0.869 * (0 – 5) = -4.347

    Expected value: 0.585+ 2.353 – 4.347 = -1.409

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45:7+7-4:2-5:5*4+35:2 =? ( )