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mr_godi [17]
3 years ago
15

If you draw three cards from a regular deck of 52 cards, what are the chances they are all hearts?

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
In a deck of 52 cards, 13 are hearts. Assuming you do not put the cards back in after drawing them, the first card's chance of being hearts would be 13/52, or 1/4. Since on heart card is gone from the deck, the next card's chances of being hearts are 12/51, or 4/17. Now that two hearts are gone from the deck, the third card's chances of being hearts is 11/50. Finally, we have to multiply all three fractions. 1/4 x 4/17 x 11/50 = 44/340, or 11/85. Therefore, our answer is 11/85.

Hope this helps!
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Answer:

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Explanation:

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<u>2) Second quantum number, ℓ</u>

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The possible values of ℓ are from 0 to n - 1.

Hence, since n = 2, there are two possible values for ℓ: 0, and 1.

This gives you two shapes for the orbitals: 0 corresponds to "s" orbitals, and 1 corresponds to "p" orbitals.

<u>3) Third quantum number, mℓ</u>

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The possible values for mℓ are from - ℓ to + ℓ.

Hence, the poosible values for mℓ when n = 2 are:

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<u>4) Fourth quantum number, ms.</u>

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Therfore the full set of possible states (different quantum number for a given atom) for n = 2 is:

  • (2, 0, 0 +1/2)
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  • (2, 1, 0, +1/2)
  • (2, 1, 0, -1/2)
  • (2, 1, 1, +1/2)
  • (2, 1, 1, -1/2)

That is a total of <u>8 different possible states</u>, which is the answer for the question.

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Answer:

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Step-by-step explanation:

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