When three identical dice are thrown,what is the probability of getting the same number on each of them?

The probability of getting head and tail alternately in three throws of a coin (or a throw of three coins) is:

$A$ container holds two balls. Both balls are black. If one white ball is added to the container and then one ball is drawn at random from the container,what is the probability that it is white?

When two dice are thrown,the probability of getting the sum of the values on them as $10$ or $11$ is

An event $A$ is independent of itself if $P(A) = \dots$

Let $A$ and $B$ be two events such that $P(\overline{A \cup B}) = \frac{1}{6}$,$P(A \cap B) = \frac{1}{4}$,and $P(\bar{A}) = \frac{1}{4}$,where $\bar{A}$ stands for the complement of event $A$. Then events $A$ and $B$ are