$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability that the card drawn is that of diamonds.

$A$ 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

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

If $P(C) = \frac{2}{5}$,then $P(\bar{C}) = \ldots \ldots \ldots$

If $P(A)$ denotes the probability of an event $A$,then

$A$ 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 $/23$)