Friday, 1 August 2014

Probability that the sum is Even

We have an urn with 1000 balls numbered from 1 to 1000.
We choose 9 balls randomly from the urn (without replacement)
and add the shown numbers. Determine the probability that the sum is even.

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Define f:RR by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...