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What would be the probability of matrix having determinant zero out of all matrices with all entries being positive? How does one calculate such?

Edit: Restriction to natural numbers and size of $n \times n$. Restriction to entries from 0 to 5 or from 0 to 10.

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How are the entries chosen? If from the reals with independent uniforms on $[0,1]$ say, the probability is $0$. Indeed the answer is $0$ for any independent random variables with any continuous distribution. – André Nicolas Dec 10 '12 at 7:30
You can't answer this question unless you know what the distribution is. – Joe Z. Dec 10 '12 at 7:30
Even with your edit, you still can't answer it unless you know the probability that each number occurs. – Joe Z. Dec 10 '12 at 7:36
After my edit, is this answerable? Oh.. but then distribution... OK, I will provide distribution. – DDR Dec 10 '12 at 7:39
The distribution(s) you chose seem(s) to eliminate all hope of an underlying structure to the problem. – Did Dec 10 '12 at 7:51

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