Find the probability of getting $51$ marks out of $50$ marks.

An insurance company selected $1600$ drivers at random in a particular city to find a relationship between age and accidents. The data is as below:

Age group of drivers	Number of accidents in one year $(0, 1, 2, 3, >3)$
$18-25$	$320, 125, 75, 45, 30$
$25-40$	$400, 45, 50, 15, 10$
$40-55$	$150, 85, 13, 8, 10$
Above $55$	$150, 25, 17, 20, 7$

Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.

Here is an extract from a mortality table.

Age (in years)	Number of persons surviving out of a sample of one million
$60$	$16090$
$61$	$11490$
$62$	$8012$
$63$	$5448$
$64$	$3607$
$65$	$2320$

Based on this information,what is the probability of a person aged $60$ dying within a year?

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 more than $13$ defective parts.

Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$
$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$
Prepare a frequency distribution table for the data given above.

The marks obtained by a student in five tests are as follows:

Test Number	Marks obtained
$1$	$62$
$2$	$72$
$3$	$78$
$4$	$91$
$5$	$85$

If one of the tests is chosen at random,find the probability that the student scored $(1)$ more than $90$ marks and $(2)$ between $70$ and $80$ marks in that test.