Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of the numbers on the two dice is a multiple of $3$ and $4$?

$A$ bag contains $10$ red,$5$ blue and $7$ green balls. $A$ ball is drawn at random. Find the probability of this ball being a
$(i)$ red ball
$(ii)$ green ball
$(iii)$ not a blue ball

The probability of any event cannot be ..........

$A$ balanced die is rolled. The probability of receiving a number smaller than $3$ is ..... .

There are $5$ white, $7$ red, $4$ black, and $2$ blue identical balls in a box. One ball is selected at random from the box. Find the probability that the ball is either black or white.

$A$ 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 $/23$)