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March 28, 2017

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three cards are randomly drawn without replacement from a standard deck of 52 cards. What is the probability of drawing an ace on the third draw?

  • finite math - ,

    well, you could draw these
    AAA
    ??A
    A?A
    ?AA to get an ace on the third draw.

    Pr(aceonthird)= sum of above
    =4/52*3/51*2/50 + 48/52*47/51*4/50+4/52*48/51*3/50+ 1*4/51*3/50

    = 1/(52*51*50) * [24+(57*48*4)+(12*48)+ 12]

    grab your calculator. check my work

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