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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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In any sample? Or some specific size? – Drew Christianson Dec 13 '11 at 23:22
I am told most of the fruits selected. The answers happens to be $\frac{834}{1001}$. That is as much as I know for this problem. – Salazar Dec 13 '11 at 23:25
This question is unanswerable without details of the selection process. – Chris Eagle Dec 13 '11 at 23:30
Please don't phrase posts as if you were assigning us homework; it's especially grating when you "order" people how to give you their answers. – Arturo Magidin Dec 14 '11 at 4:39
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. – Arturo Magidin Dec 14 '11 at 4:41
up vote 2 down vote accepted

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. :-) – Steven Stadnicki Dec 14 '11 at 0:10

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