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    bellabenson's Avatar
    bellabenson Posts: 2, Reputation: 1
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    #1

    Apr 21, 2009, 03:00 PM
    card probability
    standard deck of 52 cards, 2 Draws with No replacement
    What is the probability of drawling to red cards, what is the probabilty of drwling at least one red card
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Apr 21, 2009, 05:39 PM
    Using a standard deck of 52 cards, 2 draws without replacing the drawn card.
    1. What is the probability of drawling two red cards.
    There are 26 red cards in the deck. So, the probability of the first card being red is 26/52 or 1/2. If the first card is red, then there are 25 red cards remaining in a deck of 51 cards. So, the probability of drawing a second red card is 25/51.



    Using a standard deck of 52 cards, 2 draws without replacing the drawn card.
    2. What is the probabilty of drawing at least one red card
    To figure this out, you have to figure the probability of drawing NO red cards and subtract that from 1 (the total probability).

    The probability of not drawing a red card the first time (i.e. drawing a black card) is 1/2 -- just like a red card. The probability of not drawing a red card (i.e. drawing a second black card) is 25/51, just like in the red case. The overall probability is the product of these two probabilities, just like in the red case.


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