Q1. In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she batswoman. Find the probability that she did not hit a boundary.

Q2. 1500 families with 2 children were selected randomly, and the following data were recorded:
Compute the probability of a family, chosen at random, having

(i) 2 girls

Q2. 1500 families with 2 children were selected randomly, and the following data were recorded:

Compute the probability of a family, chosen at random, having

(ii) 1 girl

Q2. 1500 families with 2 children were selected randomly, and the following data were
recorded:

Compute the probability of a family, chosen at random, having

(iii) No girl

Q3. 1500 families with 2 children were selected randomly, and the following data were
recorded:

Also, check whether the sum of these probabilities is 1.

 

Q3. Refer to Example 5, Section 14.4, Chapter 14. Find the probability that a student of the
the class was born in August.

Q4. Three coins are tossed simultaneously 200 times with the following frequencies of
different outcomes:

If the three coins are simultaneously tossed again, compute the probability of 2 heads
coming up.

 

Q5. An organization 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:

Suppose a family is chosen. Find the probability that the family chosen is
(i) earning ` Rs. 10000 – Rs.13000 per month and owning exactly 2 vehicles.

 

Q5. An organization 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

Suppose a family is chosen. Find the probability that the family chosen is

(ii) earning Rs.16000 or more per month and owning exactly 1 vehicle.

 

Q5. An organization 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:

Suppose a family is chosen. Find the probability that the family chose is

(iii) earning less than Rs. 7000 per month and does not own any vehicle.

Q5. An organization 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:

 

Suppose a family is chosen. Find the probability that the family chose is

iv) earning `Rs.13000 – 16000 per month and owning more than 2 vehicles.

 

Q5. An organization 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:

(v) owning not more than 1 vehicle.

Q6. Refer to Table 14.7, Chapter 14.
(i) Find the probability that a student obtained less than 20% in the mathematics
test.

 

6. Refer to Table 14.7, Chapter 14.

(ii) Find the probability that a student obtained marks 60 or above.

Q6. Refer to Table 14.7, Chapter 14.

(ii) Find the probability that a student obtained marks 60 or above.

 

Q7. To know the opinion of the students about the subject statistics, a survey of 200
students was conducted. The data is recorded in the following table.

Find the probability that a student is chosen at random
(i) likes statistics,

 

Q7. To know the opinion of the students about the subject statistics, a survey of 200
students was conducted. The data is recorded in the following table.

(ii) does not like it.

Q8. Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:


(i) less than 7 km from her place of work?

Q8. Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:

(ii) more than or equal to 7 km from her place of work?

 

Q8. Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:

iii) within 1/2 km from her place of work?

Q9. Activity : Note the frequency of two-wheelers, three-wheelers and four-wheelers
going past during a time interval, in front of your school gate. Find the probability
that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Q10. Activity: 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.

Q 11. Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg
of flour.

Q12. In Q.5, Exercise 14.2, you were asked to prepare a frequency distribution table, regarding the concentration of sulfur dioxide in the air in parts per million of a certain city for30 days. Using this table, find the probability of the concentration of sulfur dioxide in the interval 0.12 - 0.16 on any of these days.

Q13. In Q.1, Exercise 14.2, you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group AB.

 

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