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MA_775_DIABLO [31]
3 years ago
5

Use the number sentence to answer the question.

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

A. 26

Step-by-step explanation:

53+26=x+53

Add 53 and 26

79=x+53

subtract 53 from both sides

x=23

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Answer: \dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9} or  \dfrac{228}{91885} .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

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Number of cards not face cards = 40

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Now , the combination of 9 cards such that exactly 6 of them are  face cards =  ^{12}C_{6}\times^{40}C_3

Now , the probability that the hand contains exactly 6 face cards will be :-

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=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}

Hence, the probability that the hand contains exactly 6 face cards. is  \dfrac{228}{91885} .

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3 years ago
3/7 is reduced to what lowest term?
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