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7 August, 12:07

Two cards are randomly selected, without replacement, from a standard deck of playing cards. What is the probability of first picking a five and then picking a card other than a five?

I'm having a time with determining which formula to use?

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  1. 7 August, 12:18
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    When the deck is fresh, it has 52 cards, and 4 of them are fives.

    The probability of picking a five is (4 / 52).

    Now the deck has 51 cards in it, and 48 of them are not fives.

    The probability of picking a not-five is (48 / 51).

    The probability of both successes in order is

    (4/52) x (48 / 51) = 7.24 % (rounded)

    I have no idea which formula to use. Let me know if my answer is wrong.
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