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[" Three randomly chosen non-negative integers "x,y" and "z" are found to satisfy the equation "x+y+z=10" .Then "],[" he probability that "z" is even,is "]

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Three randomly chosen nonnegative integers x,y and z 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)

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