If we randomly pick a non-negative integer-valued vector (1, 2, 3, 4) such that +...

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If we randomly pick a non-negative integer-valued vector (1, 2, 3, 4) such that ₁ + x₂ + x3 + 4 = 20, what is the probability that ₁ ≤ 3, 2 ≤ 4, and x3 ≤ 5. If we randomly pick a non-negative integer-valued vector (1, 2, 3, 4) such that ₁ + x₂ + x3 + 4 = 20, what is the probability that ₁ ≤ 3, 2 ≤ 4, and x3 ≤ 5.

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