SOLUTION: Five cards are drawn from a standard deck of cards. What is the probability that there are 3 tens and 2 jacks? What is the probability that at least one face card is drawn.

Question 446278: Five cards are drawn from a standard deck of cards. What is the probability that there are 3 tens and 2 jacks? What is the probability that at least one face card is drawn.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Five cards are drawn from a standard deck of cards. What is the probability that there are 3 tens and 2 jacks?
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# of ways to draw 3 tens: 4C3 = 4
# of ways to draw 2 jacks: 4C2 = 6
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# of 5 card hands with 3 tens and 2 jacks: 4*6 = 24
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# of possible 5 card hands: 52C5
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P(3 tens and 2 jacks) = 24/52C5 = 0.000009234..
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What is the probability that at least one face card is drawn.
There are 3*4 = 12 face cards and 40 non-face cards.
P(at least one face card) = 1-p(no face cards)
= 1 - (40C5/52C5)
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= 1 - 0.2531
= 0.7468...
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Cheers,
Stan H.

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