If two events $A$ and $B$ are such that $P(A \cup B) = \frac{5}{6}$,$P(A \cap B) = \frac{1}{3}$,and $P(\bar{A}) = \frac{1}{2}$,then the events $A$ and $B$ are:

Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$.
Describe the events $B$ and $C$.

$A, B, C, D$ cut a pack of $52$ well-shuffled playing cards successively in the same order. If the person who cuts a spade first wins the game and the game continues until this happens,then the probability that $A$ wins the game is

Three groups of children $A$,$B$,and $C$ contain boys and girls as given below. Group $A$ contains $3$ girls and $1$ boy,group $B$ contains $2$ girls and $2$ boys,and group $C$ contains $3$ boys and $1$ girl. If $1$ child is selected at random from each group,what is the probability that the three children selected consist of $1$ girl and $2$ boys?

In a non-leap year,the probability of getting $53$ Sundays or $53$ Tuesdays or $53$ Thursdays is:

One card is selected at random from $27$ cards numbered from $1$ to $27$. What is the probability that the number on the card is even or divisible by $5$?