$A$ triangular target with sides measuring $5 \, cm, 12 \, cm$,and $13 \, cm$ is drawn on a square board with side $20 \, cm$. Find the probability that a dart hitting the board hits the target.

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 red.

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

$A$ card is drawn from a deck of $52$ cards. The event $E$ is that the card is not an ace of hearts. The number of outcomes favourable to $E$ is

$A$ card is selected at random from a well-shuffled pack of $52$ cards. Find the probability that the selected card is not a king.

$A$ child's game has $8$ triangles of which $3$ are blue and the rest are red,and $10$ squares of which $6$ are blue and the rest are red. One piece is lost at random. Find the probability that it is a
$(i)$ triangle
$(ii)$ square
$(iii)$ square of blue colour
$(iv)$ triangle of red colour