The distribution of the weights of $50$ students in a class is as follows:

Weight (in $kg$)	Number of students
$50-52$	$10$
$52-54$	$12$
$54-56$	$13$
$56-58$	$9$
$58-60$	$6$

Find the probability that a student selected at random weighs $56 \ kg$ or more.

$1000$ families with $2$ children were selected randomly,and the following data were recorded:

Number of girls in a family	$0$	$1$	$2$
Number of families	$128$	$672$	$200$

Compute the probability of a family,chosen at random,having $(1)$ two girls,$(2)$ one girl.

The probability of a month of August having $5$ Wednesdays is ............

$100$ seeds were selected at random from each of $5$ bags of seeds,and were kept under standardised conditions equally favourable to germination. After some days,the number of seeds which had germinated in each collection were counted and recorded as follows:

Bag	$1, 2, 3, 4, 5$
Number of seeds germinated	$76, 89, 65, 58, 85$

What is the probability of germination of:
$(1)$ more than $60$ seeds in a bag?
$(2)$ less than $60$ seeds in a bag?
$(3)$ more than $90$ seeds in a bag?

Over the past $200$ working days,the number of defective parts produced by a machine is given in the following table:

Number of defective parts	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$	$13$
Days	$50$	$32$	$22$	$18$	$12$	$12$	$10$	$10$	$10$	$8$	$6$	$6$	$2$	$2$

Determine the probability that tomorrow's output will have not more than $5$ defective parts.

$A$ die is thrown $1000$ times and the outcomes were recorded as follows:

Outcome	$1$	$2$	$3$	$4$	$5$	$6$
Frequency	$180$	$150$	$160$	$170$	$150$	$190$

If the die is thrown once more,then the probability that it shows $5$ is: