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19 November, 18:39

A card game goes like this: you draw a card from a 52-card deck. if it is a face card (jack, queen or king), you win $4; otherwise, you lose $2. what is your expected value for this game? (round your answer to the nearest cent.)

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  1. 19 November, 19:01
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    Your expected value is - $0.62.

    We multiply the probability of winning by the amount won. There are 12 face cards out of 52 cards, and the amount won is 4:

    12/52 (4)

    We also multiply the probability of losing by the amount lost. There are 40 cards that are not face cards out of 52, and the amount lost is 2:

    40 (52) (-2)

    Adding these, we have:

    (12/52) (4) - (40/52) (2) = - 0.62.
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