Three randomly chosen nonnegative integers \( \mathrm{x}, \mathrm{y} \) and \( \mathrm{z} \) are...

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Three randomly chosen nonnegative integers \( \mathrm{x}, \mathrm{y} \) and \( \mathrm{z} \) are found to satisfy the equation \( x+y+z=10 \). Then the probability that \( z \) is even, is
\( P \)
(A) \( \frac{36}{55} \)
(B) \( \frac{6}{11} \)
(C) \( \frac{5}{11} \)
(D) \( \frac{1}{2} \)
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