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Question: Answered & Verified by Expert
Two integers $\mathrm{x}$ and $\mathrm{y}$ are chosen with replacement from the
set $(0,1,2, \ldots \ldots, 10)$. The probability that $|\mathrm{x}-\mathrm{y}|>5$ is
MathematicsProbabilityNDANDA 2018 (Phase 2)
Options:
  • A $\frac{6}{11}$
  • B $\frac{35}{121}$
  • C $\frac{30}{121}$
  • D $\frac{25}{121}$
Solution:
2735 Upvotes Verified Answer
The correct answer is: $\frac{30}{121}$
Probability $=\frac{2 \times \frac{1}{2} \times 5 \times 6}{11 \times 11}=\frac{30}{121}$

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