Each of $$\(a, b, c\)$$, and $$\(d\)$$ has a value chosen independently, with equal probability $$\(\frac{1}{10}\)$$, from $$\(\{0,1,2,3,4,5,6,7,8,9\}\)$$. The values chosen need not be different. What is the probability that $$\(a b+c d\)$$ is odd?

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