Yahoo Answers: Answers and Comments for Probability Question (Easy)? [Mathematics]
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From Kung Fu Champion
enCA
Fri, 21 Jan 2011 06:36:01 +0000
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Yahoo Answers: Answers and Comments for Probability Question (Easy)? [Mathematics]
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https://ca.answers.yahoo.com/question/index?qid=20110121063601AACpQ46
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From Chris: 1. This is the number of combinations of 48 c...
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Fri, 21 Jan 2011 14:54:58 +0000
1. This is the number of combinations of 48 cards, 5 at a time, because aces are excluded from a 52card deck. You probably know this stuff already, but C(48,5) means the number of combinations of 48 cards, five at a time, and C(n,r) is defined as C(n,r) = n! / (r! * (nr)!).
C(4,0) * C(48,5) = 1 * 48!/(43! 5!) = 1,712,304
2.
For a = 0, we drew no aces out of the 4 available aces, and 5 cards out of the 48 other cards.
a = 0: We already answered this one above: 1,712,304
For a = 1, we drew 1 ace out of the 4 available aces, and 4 cards out of the 48 other cards.
a = 1: C(4,1) * C(48, 4) = 778,320
For a = 2, we drew 2 aces out of the 4 available aces, and 3 cards out of the 48 other cards.
a = 2: C(4,2) * C(48,3) = 103,776
For a = 3, we drew 3 aces out of the 4 available aces, and 2 cards out of the 48 other cards.
a = 3: C(4,3) * C(48,2) = 4,512
For a = 4, we drew all 4 aces out of the 4 available aces, and 1 card out of the 48 other cards.
a = 4: C(4,4) * C(48,1) = 48

From Science Girl: First question: Probability = 1/47.
Secon...
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https://ca.answers.yahoo.com/question/index?qid=20110121063601AACpQ46
Fri, 21 Jan 2011 14:41:21 +0000
First question: Probability = 1/47.
Second question: 5 X 4C1/52C1.