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.

(N/A) Total number of tests = $5$.
$(1)$ Number of tests where the student scored more than $90$ marks is $1$ (Test $4$ with $91$ marks).
Therefore,the probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{5}$.
$(2)$ Number of tests where the student scored between $70$ and $80$ marks is $2$ (Test $2$ with $72$ marks and Test $3$ with $78$ marks).
Therefore,the probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{5}$.