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    quickkid802's Avatar
    quickkid802 Posts: 1, Reputation: 1
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    #1

    May 7, 2009, 08:05 PM
    probability of picking two jacks
    could someone please walk me trough this one...

    two cards are drawn from a deck. What is he probability of them both being jacks if replacments occur?

    thanks
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    May 8, 2009, 05:13 AM

    There are 52 cards in a deck. Four of those cards are Jacks. Therefore, if you draw one card, the probability that it will be a Jack is 4/52. If you put that card back and draw another card, the probability is, again, 4/52. Since these events are independent (the probability of drawing a jack doesn't depend on whether you drew a Jack for the first draw), the probabilities multiply to get the final probability.
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