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ProbabilityMedium JEE math MCQ

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
  1. A. $\frac{36}{55}$
  2. B. $\frac{6}{11}$
  3. C. $\frac{1}{2}$
  4. D. $\frac{5}{11}$

Solution

The correct option is **B**.

MATH

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Question
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Three randomly chosen nonnegative integers x,yx, y and zz are found to satisfy the equation x+y+z=10x+y+z=10. Then the probability that zz is even, is
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Probability — Medium JEE Mathematics MCQ | MyGoalPrep