$A$ letter is chosen at random from the word $ASSASSINATION$. Find the probability that the letter is a vowel. (in $/13$)

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

The chances to fail in Physics are $20\%$ and the chances to fail in Mathematics are $10\%$. What are the chances to fail in at least one subject? ............ $\%$

Let $S$ be the sample space of all five-digit numbers. If $p$ is the probability that a randomly selected number from $S$ is a multiple of $7$ but not divisible by $5$,then $9p$ is equal to.

$A$ dice is thrown twice. The probability of getting $4, 5$ or $6$ in the first throw and $1, 2, 3$ or $4$ in the second throw is

Three dice are thrown simultaneously. What is the probability of obtaining a total of $17$ or $18$?