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

If $\frac{1 - 3p}{2}, \frac{1 + 4p}{3}$ and $\frac{1 + p}{6}$ are the probabilities of three mutually exclusive and exhaustive events,then the set of all values of $p$ is

$A$ and $B$ are two events such that $P(A)=0.54$,$P(B)=0.69$ and $P(A \cap B)=0.35$. Find $P(B \cap A^{\prime})$.

$A$ number $n$ is chosen at random from $\{1, 2, 3, 4, \ldots, 1000\}$. The probability that $n$ is a number that leaves remainder $1$ when divided by $7$ is:

When three coins are tossed simultaneously,what is the probability of getting at least one head?

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