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    nanmitchell's Avatar
    nanmitchell Posts: 1, Reputation: 1
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    #1

    Dec 11, 2009, 06:16 PM
    Statistics and probability of a standard deck of playing cards.
    Using a standard deck of playing cards give the probability of the following:

    Select a card from the deck. Place the card back in the deck. Select another card. What is the probability that both cards will be black?

    And then... Select a card from the deck. Do NOT replace the card. Select another card. What is the probability that a red 3 and a face card are the 2 cards you selected?
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #2

    Dec 11, 2009, 06:25 PM
    Select a card from the deck. Place the card back in the deck. Select another card. What is the probability that both cards will be black?
    Take P(1st. Card is black) * P(2nd card is black)

    And then... Select a card from the deck. Do NOT replace the card. Select another card. What is the probability that a red 3 and a face card are the 2 cards you selected?
    Same idea ; P(1st. Card is red 3) * P(2nd card is face card) + P(1st. Card is face card) * P(2nd card is red 3)
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Dec 12, 2009, 05:11 AM

    Be careful with the second problem. Since the card is not replaced, then after the first draw there are 51 cards to choose from.
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