probability

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by Anurag@Gurome » Tue Jan 31, 2012 4:19 am
sud21 wrote:Image
Let S = Science book, F = fiction
Total books on shelf = 15
The possible ways of selecting 3 books are: (1 S, 2 F), (2 S, 1 F)

Therefore, required probability = (10C1 * 5C2)/15C3 + (10C2 * 5C1)/15C3 = (10 * 10)/455 + (45 * 5)/455 = 20/91 + 45/91 = 65/91 = [spoiler]5/7[/spoiler]

The correct answer is C.
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