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fatboy12

Find the probability of randomly selecting three science books and four history books from a box containing five science books and six history books.

  • one year ago
  • one year ago

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  1. hba
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    5C3+6C4=

    • one year ago
  2. wio
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    @hba Why would we be adding in this case? It's not "three science books OR four history books"

    • one year ago
  3. hba
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    my bad :(

    • one year ago
  4. wio
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    No problem, I wasn't even sure that you were wrong, I was just confused.

    • one year ago
  5. wio
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    My guess is \(\binom{5}{3} \times \binom{6}{4} \div \binom{11}{7} \) It's assuming they meant to say "choosing 7 books randomly". Because otherwise it could be 100% or even 0%.

    • one year ago
  6. hartnn
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    ^ thats correct.

    • one year ago
  7. hba
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    The answer would be 5/11 then ?

    • one year ago
  8. wio
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    If I am correct then wolfram agrees: http://www.wolframalpha.com/input/?i=%285+choose+3%29+*+%286+choose+4%29++%2F+%2811+choose+7%29

    • one year ago
  9. hba
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    hmm,I am really sorry about the mistake i made :/

    • one year ago
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