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18 February, 21:11

You have a standard deck of 52 cards. you pick one card and then, with out putting the first card back, you pick a second card. what is the probability that both cards will be 9s?

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  1. 18 February, 21:33
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    First, find the probability of picking one 9. There are four nines in a deck of 52, so the probability is 4/52, which is 1/13.

    The probability of picking a 9 the second time is 1/17, because if a 9 was picked the first time, then there are three 9s left and 51 cards left in total.

    To find the probability of both events happening, multiply the individual probabilities together:

    (1/13) (1/17)

    The probability that both cards picked will be 9s is 1/221.
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