If $4$ boys and $3$ girls are standing in a row for an interview,what is the probability that they stand in alternating positions?

$A$ bag contains $6$ white,$7$ red,and $5$ black balls. If $3$ balls are drawn from the bag at random,then the probability that all of them are white is

$A$ bag contains $4$ red,$3$ white,and $5$ blue balls. Three balls are drawn at a time randomly from the bag. Match the items from List-$I$ with those of List-$II$.

List-$I$	List-$II$
$A$. Probability of getting $1$ red,$1$ white and $1$ blue ball	$(i)$ $\frac{3}{44}$
$B$. Probability of getting $2$ white and $1$ blue ball	$(ii)$ $\frac{21}{55}$
$C$. Probability of getting $2$ red and $1$ white ball	$(iii)$ $\frac{38}{55}$
$D$. Probability that none of the balls is white	$(iv)$ $\frac{3}{11}$
	$(v)$ $\frac{9}{110}$

If two numbers are selected at random from $20$ consecutive integers,what is the probability that their sum is odd?

In a well-shuffled deck of $52$ cards,if two cards are drawn at random,what is the probability that both cards are kings?

Out of $3$ men,$2$ women,and $4$ children,if $4$ people are selected at random,what is the probability that exactly $2$ children are selected?