SOLUTION: From a standard 52-card deck, what are the odds of drawing a 10, a face card, an ace, or a spade?

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Question 523276: From a standard 52-card deck, what are the odds of drawing a 10, a face card, an ace, or a spade?
Answer by stanbon(75887) About Me  (Show Source):
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From a standard 52-card deck, what are the odds of drawing a 10, a face card, an ace, or a spade?
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# of 10's: 4
# of face: 12
# of ace: 4
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# of spades: 13
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# of ((10 or face or ace) AND spade): 3
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# of ways to "succeed" = (4+12+4+13) - 3 = 30
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# of possible outcomes 52
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P(success) = 30/52
P(failure) = 22/52
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Odds "in favor of success" = 30/22 = 15:11
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Cheers,
Stan H.
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