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13 January, 23:51

Given a standard deck of playing cards, what is the probability of randomly selecting a card that is either red or a face card or both

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  1. 14 January, 00:11
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    A standard deck of cards has 52 cards, with 4 types of cards, 13 of each.

    The types of cards and their colors are:

    clubs (black), diamonds (red), hearts (red) and spades (black).

    each of these contain 3 face cards: a jack, a queen and a king.

    so there are in total 6 black face cards, and 6 red face cards.

    P (red or a face card or both) = n (red or a face card or both) / 52

    n (red or a face card or both) = n{26 red + 6 black faces) = 32

    so the probability is 32/52=0.615

    Answer: 0.615
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