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vagabundo [1.1K]
3 years ago
6

A bannana has 80 calories. Thus is 5 calories less than one seventh of the calories in a banana split. How many calories are in

a banana split?
Mathematics
2 answers:
gladu [14]3 years ago
7 0

602 calories in a banana split

Artemon [7]3 years ago
7 0
So a banana has 80 calories and this is 5 less than 1/7th a banana split. So then a 1/7th a banana split is 85 calories. To find out how many calories are in the banana split you need to multiply 85*7 and you get 595 calories
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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
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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.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = ^{52}C_9

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 :-

\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}

=\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
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Answer:

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Step-by-step explanation:

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3 years ago
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