In a shop, there are $50$ packets of tea out of which $5$ are under-weight. One packet is selected at random from the lot. Find the probability that an under-weight packet is selected.

Two balanced dice are rolled simultaneously. Then,the probability that the sum of numbers on the dice is $4$ is .........

$A$ carton contains $100$ trousers of which $73$ are good,$12$ have minor defects and $15$ have major defects. Manu rejects only those trousers which have major defects. One trouser is selected at random from the carton. Then,the probability that the selected trouser is accepted by Manu is $\ldots \ldots \ldots \ldots .$

$A$ 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 $/23$)

The probability of the month of February of a non-leap year having $5$ Wednesdays is ...... .

$A$ bag contains slips numbered from $1$ to $100$. If Fatima chooses a slip at random from the bag,it will either be an odd number or an even number. Since this situation has only two possible outcomes,the probability of each is $\frac{1}{2}$. Justify.