A non-zero integer x is selected randomly from the set of integers x ∈ Z-25 ≤ x ≤ 25, x ≠ 0 . The probability that x+6 ≤ (135/x) is

Question

A non-zero integer x is selected randomly from the set of integers x ∈ Z-25 ≤ x ≤ 25, x ≠ 0 . The probability that x+6 ≤ (135/x) is (A) (12/25) (B) (2/5) (C) (3/5) (D) (14/25)

Tardigrade Admin · Accepted Answer

Total cards =52 Number of aces =4 Probability of drawing two ace one after the other without replacement =(4/52) × (3/51)=(1/13) × (1/17)=(1/221)

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

$\frac{12}{25}$

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{14}{25}$

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

Q. A non-zero integer x is selected randomly from the set of integers {x∈Z−25≤x≤25,x=0}. The probability that x+6≤x135​ is

2512​

52​

53​

2514​