If $P(\overline{D}) = \frac{6}{17}$,then $P(D) = \ldots$

$A$ 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 $/23$)

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability that the card drawn is not of Diamonds is ..............

If an event cannot occur,then its probability is

If $P(A) : P(\bar{A}) = 5 : 3$,then $P(\bar{A}) = $ ........

There are chits numbered $1$ to $20$ in a box. One chit is drawn at random. Find the probability that the number on the chit is a prime number.