$A$ 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.

$A$ 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 $6?$

Which of the following arguments are correct and which are not correct? Give reasons for your answer.
$(i)$ If two coins are tossed simultaneously,there are three possible outcomes - two heads,two tails,or one of each. Therefore,for each of these outcomes,the probability is $\frac{1}{3}$.
$(ii)$ If a die is thrown,there are two possible outcomes - an odd number or an even number. Therefore,the probability of getting an odd number is $\frac{1}{2}$.

$12$ 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.

$A$ box contains $3$ blue,$2$ white,and $4$ red marbles. If a marble is drawn at random from the box,what is the probability that it will be
$(i)$ white?
$(ii)$ blue?
$(iii)$ red?

$A$ 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?