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6 randomly chosen numbers and odd sum

Source:

October 24, 2005
probability

Problem Statement

A box contains 11 balls, numbered 1,2,3,....,11. If 6 balls are drawn simultaneously at random, what is the probability that the sum of the numbers on the balls drawn is odd? A. 100231\frac{100}{231} B. 115231\frac{115}{231} C. 12\frac{1}{2} D. 118231\frac{118}{231} E. 611\frac{6}{11}
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