$A$ bag contains $7$ green and $5$ black balls. $3$ balls are drawn at random one after the other. If the balls are not replaced,then the probability of all three balls being green is

Three coins are tossed. Describe three events which are mutually exclusive but not exhaustive.

The probabilities of solving a specific problem independently by $A$ and $B$ are $\frac{1}{2}$ and $\frac{1}{3}$ respectively. If both try to solve the problem independently,find the probability that exactly one of them solves the problem.

$A$ 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

When two dice are thrown,what is the probability of getting a sum of $7$ (in $/36$)?

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