Algebra

If you have a standard deck of 52 cards. You pick one card from the deck and then without putting it back you pick another card . What is the probability that both cards will be 9's

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  1. There are 52 cards in a deck, 4 of which are nines.

    Initially, the probability of pulling a 9 can be represented by P1, and can be found as:
    P1 = Number of 9s/Number of cards
    = 4/52
    = 1/13

    After this, if we pull out a nine (since we want both cards to be nines), then there are 51 cards total and 3 are nines. The probability of pulling out another nine is:
    P2 = 3/51
    = 1/17

    For the probability of both events happening, we multiply these probabilities:

    P1* P2
    => (1/13)*(1/17)
    => (1/221)

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