The percentage of marks obtained by a student in the monthly unit tests are given below:

Unit test	$I$	$II$	$III$	$IV$	$V$
Percentage of marks obtained	$69$	$71$	$73$	$68$	$74$

Based on this data,find the probability that the student gets more than $70\%$ marks in a unit test.

An organisation selected $2400$ families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:

Monthly income (in Rs.) / Vehicles per family	$0$	$1$	$2$	Above $2$
Less than $7000$	$10$	$160$	$25$	$0$
$7000 - 10000$	$0$	$305$	$27$	$2$
$10000 - 13000$	$1$	$535$	$29$	$1$
$13000 - 16000$	$2$	$469$	$59$	$25$
$16000$ or more	$1$	$579$	$82$	$88$

Suppose a family is chosen. Find the probability that the family chosen is:
$(i)$ Earning Rs. $10000 - 13000$ per month and owning exactly $2$ vehicles.
$(ii)$ Earning Rs. $16000$ or more per month and owning exactly $1$ vehicle.
$(iii)$ Earning less than Rs. $7000$ per month and does not own any vehicle.
$(iv)$ Earning Rs. $13000 - 16000$ per month and owning more than $2$ vehicles.
$(v)$ Owning not more than $1$ vehicle.

Consider the frequency distribution table which gives the weights of $38$ students of a class.

Weights (in $kg$)	Number of students
$31-35$	$9$
$36-40$	$5$
$41-45$	$14$
$46-50$	$3$
$51-55$	$1$
$56-60$	$2$
$61-65$	$2$
$66-70$	$1$
$71-75$	$1$
Total	$38$

$(i)$ Find the probability that the weight of a student in the class lies in the interval $46-50 \, kg$.
$(ii)$ Give two events in this context,one having probability $0$ and the other having probability $1$.

On one page of a telephone directory,there were $200$ telephone numbers. The frequency distribution of their unit place digit (for example,in the number $25828573$,the unit place digit is $3$) is given in the table below:

Digit	$0, 1, 2, 3, 4, 5, 6, 7, 8, 9$
Frequency	$22, 26, 22, 22, 20, 10, 14, 28, 16, 20$

Without looking at the page,a number is chosen at random. What is the probability that the digit in its unit place is $6$?

The record of a weather station shows that out of the past $250$ consecutive days,its weather forecasts were correct $175$ times.
$(i)$ What is the probability that on a given day it was correct?
$(ii)$ What is the probability that it was not correct on a given day?

Ask all the students in your class to write a $3-$digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by $3$? Remember that a number is divisible by $3$,if the sum of its digits is divisible by $3$.