Three coins are tossed once. Find the probability of getting no tails.

$A$ number $n$ is chosen at random from the natural numbers $2$ to $1001$. The probability that $n$ is a number that leaves remainder $1$ when divided by $7$ is:

$A$ die is thrown. Find the probability of the following event: $A$ number greater than or equal to $3$ will appear.

If $\frac{1 + 3p}{3}, \frac{1 - p}{4}$ and $\frac{1 - 2p}{2}$ are the probabilities of three mutually exclusive events,then the set of all values of $p$ is

$A$ problem in Algebra is given to two students $A$ and $B$ whose chances of solving it are $\frac{2}{5}$ and $\frac{3}{4}$ respectively. The probability that the problem is solved if both of them try independently is

Two unbiased dice are thrown. Then the probability that neither a doublet nor a total of $10$ will appear is