Find the probability of picking (see details) from a deck of 52 playing cards?

find the probability of picking at least 2 aces

find the probability of picking at least 3 aces

if you are picking 13 cards without replacement

Update:

from a book by Daniel Pummelstone Narwindalny

1 Answer

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  • 1 decade ago
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    P(picking at least 2 aces)

    = 1 - (4C0*48C13 + 4C1*48C12)/52C13

    = 1 - (1*192928249296 + 4*69668534468) / 635013559600

    = 1 - 471602387168 / 635013559600

    = 1 - 0.742665

    = 0.257335

    P(picking at least 3 aces)

    = 1 - (4C0*48C13 + 4C1*48C12 + 4C2*48C11)/52C13

    = 1 - (1*192928249296 + 4*69668534468 + 6*22595200368) / 635013559600

    = 1 - 607173589376 / 635013559600

    = 1 - 0.95616

    = 0.04384

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