Find the probability that the month of July in any year has $5$ Sundays.

$A$ carton consists of $100$ shirts of which $88$ are good,$8$ have minor defects and $4$ have major defects. Jimmy,a trader,will only accept the shirts which are good,but Sujatha,another trader,will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that
$(i)$ it is acceptable to Jimmy? $\quad (ii)$ it is acceptable to Sujatha?

All the jacks,queens,and kings are removed from a deck of $52$ playing cards. The remaining cards are well shuffled,and then one card is drawn at random. Giving ace a value of $1$ and similar values for other cards,find the probability that the card has a value:
$(i)$ $7$
$(ii)$ greater than $7$
$(iii)$ less than $7$

$A$ 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,one blue and one grey,are thrown at the same time.
$(i)$ Complete the following table:
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|} \hline \text{Sum} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline \text{Prob.} & \frac{1}{36} & & & & & & \frac{5}{36} & & & & \frac{1}{36} \\ \hline \end{array}$
$(ii)$ $A$ student argues that 'there are $11$ possible outcomes $2, 3, 4, 5, 6, 7, 8, 9, 10, 11$ and $12$. Therefore,each of them has a probability $\frac{1}{11}$.' Do you agree with this argument? Justify your answer.

There are $5$ red,$8$ white,and $4$ green balls in a box. If one ball is drawn at random from the box,find the probability that the ball drawn is white.