Three randomly chosen nonnegative integers `x , ya n dz` are found to satisfy the equation `x+y+z=10.` Then the probability that `z` is even, is: `5/(12)` (b) `1/2` (c) `6/(11)` (d) `(36)/(55)`
A. `(1)/(2)`
B. `(36)/(55)`
C. `(6)/(11)`
D. `(5)/(11)`
Select the correct answer from above options