An unbiased coin is tossed thrice. Find the probability of the following event:
$C:$ at most $2$ heads are received. (in $/8$)

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than $9$.

There are chits numbered $1$ to $20$ in a box. One chit is drawn at random. Find the probability that the number on the chit is a multiple of $5$. (in $/5$)

If $P(A) : P(\bar{A}) = 3 : 2$,then $P(A) = \dots$

$A$ school has five houses $A, B, C, D$ and $E$. $A$ class has $23$ students: $4$ from house $A$,$8$ from house $B$,$5$ from house $C$,$2$ from house $D$,and the rest from house $E$. $A$ single student is selected at random to be the class monitor. The probability that the selected student is not from house $A, B$,or $C$ is: (in $/23$)

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is $2$.