If a number $x$ is drawn randomly from the set of numbers $\{1, 2, 3, \ldots, 50\}$, then the probability that the number $x$ satisfies the inequation $x + \frac{10}{x} \leq 11$ is

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting $5$ on the top of the die and tail on the coin is

$A$ problem in statistics is given to three students $A, B$ and $C$. Their probabilities of solving the problem are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$ respectively. If all of them try independently,then the probability that the problem is solved is

Let $N$ be the sum of the numbers appeared when two fair dice are rolled and let the probability that $N - 2, \sqrt{3N}, N + 2$ are in geometric progression be $\frac{k}{48}$. Then the value of $k$ is

$A$ die is thrown. Find the probability of the following event: $A$ number less than $6$ will appear.

The chance of getting a doublet with $2$ dice is