Two Standard
Posted in Bed Comforter Sets on 01/16/2010 12:48 am by admin
Two standard deck of cards probability quesitons help, please, please, please?
1. If four standard decks of playing cards (no Jokers) are shuffled together, what is the probability dealing a 13 card hand that contains at least three black eights?
2. If three decks (52 cards in each) of cards are shuffled together, what is the probability of dealing a 13 card hand that includes two red 5’s.
q1
208 total cards, 4*2 = 8 black 8’s
at least 3 black 8’s means
{3 black 8’s, 10 others}, {4 black 8’s, 9 others,} ….{8 black 8’s, 5 others}
P[at least 3 black 8's]
= [8C3*200C10 + 8C4*200C9 + ....+ 8C8*200C5] / 200C13
i leave this calculation to you.
you can see how q2 has been calculated & take guidance
q2
similar to q1
156 total cards, 6 red 5’s
P[2 red 5's] = [6C2*154C11] / 156C13
= 0.09677
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