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

Probability
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  • hba
5C3+6C4=
@hba Why would we be adding in this case? It's not "three science books OR four history books"
  • hba
my bad :(

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Other answers:

No problem, I wasn't even sure that you were wrong, I was just confused.
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%.
^ thats correct.
  • hba
The answer would be 5/11 then ?
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
  • hba
hmm,I am really sorry about the mistake i made :/

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