SOLUTION: A 30 card deck is composed of 10 red, 10 yellow, and 10 blue cards with each color numbered 1-10. If a game uses a 5-card hand what is the probability of drawing a flush? The pr

Question 659035: A 30 card deck is composed of 10 red, 10 yellow, and 10 blue cards with each color numbered 1-10. If a game uses a 5-card hand what is the probability of drawing a flush?
The probability of drawing a full house.
The probability that you do not draw four of a kind.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A 30 card deck is composed of 10 red, 10 yellow, and 10 blue cards with each color numbered 1-10. If a game uses a 5-card hand what is
the probability of drawing a flush?:::(3*10C5)/30C5 = 0.003
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The probability of drawing a full house (3 of a kind and 2 of a kind)
Ans: Pick a card type: 10 ways
Pick 3 of that card type: 3C3 = 1
Pick a different card type: 9 ways
Pick 2 of that card: 3C2 = 3 ways
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# of ways to succeed: (10*1*9*3) = 270 ways
# of 5-card groups: 30C5 = 142506
P(full house) = 270/142506 = 0.00189..
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The probability that you do not draw four of a kind.
There are no 4 of a kind
P(draw 4 of a kind) = 0
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Cheers,
Stan H.

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