Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of numbers on two dice is greater than $9$?

$A$ 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 $/23$)

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability of that card being a jack is $\ldots \ldots \ldots$

$A$ class consists of $35$ boys and $25$ girls. One student is selected at random to be the class monitor. Find the probability that the selected student is a girl. (in $/12$)

Two balanced dice are rolled simultaneously. Then,the probability that the sum of numbers on the dice is $12$ is ........

The probability of the month of August in any year having $5$ Mondays is ..........