The probability of at least one of the events $A$ and $B$ occurring is $0.6$. If $A$ and $B$ occur simultaneously with probability $0.2$, then $P(\overline{A}) + P(\overline{B})$ is

In a certain lottery $10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy one ticket?

$A$ problem is given to $3$ students $A, B$ and $C$ whose chances of solving it are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$ respectively. Then,the probability of the problem being solved by exactly one of them,if all the three try independently,is

What is the probability that when one die is thrown,the number appearing on top is even?

Assume that Sachin Tendulkar gets out only in an odd-numbered over in a $50$-over one-day international cricket match. Find the probability that he gets out in an over that is a multiple of $9$.

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