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Q. A non-zero integer $x$ is selected randomly from the set of integers $\{x \in Z-25 \leq x \leq 25, x \neq 0\}$. The probability that $x+6 \leq \frac{135}{x}$ is

TS EAMCET 2021

Solution:

Total cards $=52$
Number of aces $=4$
Probability of drawing two ace one after the other without replacement
$=\frac{4}{52} \times \frac{3}{51}=\frac{1}{13} \times \frac{1}{17}=\frac{1}{221}$