$12$ defective pens are accidentally mixed with $132$ good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.

$A$ die is numbered in such a way that its faces show the numbers $1, 2, 2, 3, 3, 6$. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:

+	$1$	$2$	$2$	$3$	$3$	$6$
$1$	$2$	$3$	$3$	$4$	$4$	$7$
$2$	$3$	$4$	$4$	$5$	$5$	$8$
$2$	$3$	$4$	$4$	$5$	$5$	$8$
$3$	$4$	$5$	$5$	$6$	$6$	$9$
$3$	$4$	$5$	$5$	$6$	$6$	$9$
$6$	$7$	$8$	$8$	$9$	$9$	$12$

What is the probability that the total score is
$(i)$ even?
$(ii)$ $6?$
$(iii)$ at least $6?$

$A$ jar contains $24$ marbles,some are green and others are blue. If a marble is drawn at random from the jar,the probability that it is green is $\frac{2}{3}$. Find the number of blue balls in the jar.

$A$ missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure. What is the probability that it crashed inside the lake shown in the figure?

$(i)$ $A$ lot of $20$ bulbs contains $4$ defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
$(ii)$ Suppose the bulb drawn in $(i)$ is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

Suppose we throw a die once. $(i)$ What is the probability of getting a number greater than $4$? $(ii)$ What is the probability of getting a number less than or equal to $4$?