Question 656197: If I draw 3 cards at once (from standard deck 52, no replacement) find the following probabilities:
a) at least one face card
b) exactly one face card or one ace card (but not one of each)
c) exactly two face cards
d) one spade, one heart, one diamond
e) at least one face card or one club
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If I draw 3 cards at once (from standard deck 52, no replacement) find the following probabilities:
a) at least one face card
P(at least one face) = 1 - P(no face) = 1 - 40C3/52C3 = 0.5529
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b) exactly one face card or one ace card (but not one of each)
(40/52)(12C2/52C2) + (4/52)(48C2/52C2)
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c) exactly two face cards
12C2/52C2 * 40C2/52C2
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d) one spade, one heart, one diamond
(4/52)(4/48)(4/44)
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e) at least one face card or one club
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Cheers,
Stan H.
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