Question 497072: 4.We draw 7 cards from a well shuffled deck of 52 cards.
a) What is the probability that the 7 cards include exactly 3 aces?
b) What is the probability that the 7 cards include exactly 2 queens?
c) What is the probability that the 7 cards include exactly 3 aces,or 2
queens,or both?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 4.We draw 7 cards from a well shuffled deck of 52 cards.
a) What is the probability that the 7 cards include exactly 3 aces?
Pick 3 aces: 4C3 = 4C1 = 4 ways
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Pick 5 other cards: 48C5
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Probability = (4*48C5)/52C7 = 0.0512
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b) What is the probability that the 7 cards include exactly 2 queens?
Prob = (4C2*48C5)/52C7 = 0.0548
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c) What is the probability that the 7 cards include exactly 3 aces,or 2
queens,or both?
Prob = 0.0512+0.0548 + [(4*6*44C2)]52C7 = 0.1062
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Cheers,
Stan H.
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