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Suppose there are 15 fruits in a set. We know 10 are apples and the other 5 are oranges. What is the probability that most of the fruits selected are apples? (Express as answer as a quotient of two natural numbers).

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    You need to know *how many* fruit you are selecting. If you are selecting one fruit, then the odds are $\frac{2}{3}$; if you are selecting $11$ fruit, then the odds are $1$. The problem is nonsensical as written.2011-12-14

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The answers happens to be $\frac{834}{1001}$.

Then the missing part of your question is that five fruits are selected at random.

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    I wish I could add the 'reverse-mathematics' tag to this answer. :-)2011-12-14