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Probability- Case Based Type Questions - Free with solutions Class 9


MCQ Practice Test & Solutions: Test: Probability- Case Based Type Questions (10 Questions)

You can prepare effectively for Class 9 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Probability- Case Based Type Questions". These 10 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Probability- Case Based Type Questions - Question 1

The number of road accidents in the first six months of the year (January to June) were around 1,60,000, 35% less than the average number of accidents reported in the corresponding period in the previous six years, an obvious result of a nationwide lockdown imposed in March to slow the spread of the Covid-19 infection. The number of people who died also dropped by 30% this year.

A survey was held on 200 drivers in a city with the aim to find the relationship between ages and accidents. Number of accidents in 4 weeks was recorded.

Look at the table and answer the following :

Q. Find the probability of the event for a driver chosen at random from the city being above 50 years and having no accidents.

Detailed Solution: Question 1

Number of drivers of age group 50 years and above having no accidents = 15

Total drivers = 200

P(E) = 15/200

Test: Probability- Case Based Type Questions - Question 2

The number of road accidents in the first six months of the year (January to June) were around 1,60,000, 35% less than the average number of accidents reported in the corresponding period in the previous six years, an obvious result of a nationwide lockdown imposed in March to slow the spread of the Covid-19 infection. The number of people who died also dropped by 30% this year.

A survey was held on 200 drivers in a city with the aim to find the relationship between ages and accidents. Number of accidents in 4 weeks was recorded.

Look at the table and answer the following :

Q. Find the probability of the event for a driver chosen at random from the city being 30 – 50 years of age and having 1 or more accidents.

Detailed Solution: Question 2

The number of drivers in the age group 30-50 year having 1 or more accidents

= 20 + 14 + 11 = 45

Total number of drivers = 200

Required probability = 45/200

Test: Probability- Case Based Type Questions - Question 3

The number of road accidents in the first six months of the year (January to June) were around 1,60,000, 35% less than the average number of accidents reported in the corresponding period in the previous six years, an obvious result of a nationwide lockdown imposed in March to slow the spread of the Covid-19 infection. The number of people who died also dropped by 30% this year.

A survey was held on 200 drivers in a city with the aim to find the relationship between ages and accidents. Number of accidents in 4 weeks was recorded.

Look at the table and answer the following :

Q. Find the probability of the event for a driver chosen at random from the city being 18 – 30 years of age and having exactly 2 accidents.

Detailed Solution: Question 3

The number of drivers in the age group 18 - 30 years having exactly 2 accidents

= 37

Total number of drivers = 200

Required probability = 37/200

Test: Probability- Case Based Type Questions - Question 4

The number of road accidents in the first six months of the year (January to June) were around 1,60,000, 35% less than the average number of accidents reported in the corresponding period in the previous six years, an obvious result of a nationwide lockdown imposed in March to slow the spread of the Covid-19 infection. The number of people who died also dropped by 30% this year.

A survey was held on 200 drivers in a city with the aim to find the relationship between ages and accidents. Number of accidents in 4 weeks was recorded.

Look at the table and answer the following :

Q. Find the probability of the event for a driver chosen at random from the city being above 50 years and having above 2 accidents.

Detailed Solution: Question 4

The number of drivers in the age group above 50 years and having above 2 accidents = 5

Total number of drivers = 200

Required probability = 5/200

Test: Probability- Case Based Type Questions - Question 5

The number of road accidents in the first six months of the year (January to June) were around 1,60,000, 35% less than the average number of accidents reported in the corresponding period in the previous six years, an obvious result of a nationwide lockdown imposed in March to slow the spread of the Covid-19 infection. The number of people who died also dropped by 30% this year.

A survey was held on 200 drivers in a city with the aim to find the relationship between ages and accidents. Number of accidents in 4 weeks was recorded.

Look at the table and answer the following :

Q. If probability of having an event is 2/3 , then what is the probability of not having that event?

Detailed Solution: Question 5

P(having the event) = 1 – P(not having the event)

Thus, required probability

Test: Probability- Case Based Type Questions - Question 6

Van Mahotsava is a tree planting festival which is celebrated annually in the month of July. During this festival thousands of trees are planted all over India. The name Van Mahotsava means 'the festival of trees'.

In a school, Van Mahotsava was celebrated. 250 students took part in the festival with zeal and helped each other in planting trees. Look at the table given below.

Now, Answer the following :

Q. Find the probability of planting Chameli and Rose.

Detailed Solution: Question 6

No. of Chameli and Rose = 32 + 16

= 48

No. of total plants = 100

probability = 48/100

Test: Probability- Case Based Type Questions - Question 7

Van Mahotsava is a tree planting festival which is celebrated annually in the month of July. During this festival thousands of trees are planted all over India. The name Van Mahotsava means 'the festival of trees'.

In a school, Van Mahotsava was celebrated. 250 students took part in the festival with zeal and helped each other in planting trees. Look at the table given below.

Now, Answer the following :

Q. Find the probability of planting Jasmine.

Detailed Solution: Question 7

No. of Jasmine = 24

Total plants = 100

probability = 24/100

Test: Probability- Case Based Type Questions - Question 8

Van Mahotsava is a tree planting festival which is celebrated annually in the month of July. During this festival thousands of trees are planted all over India. The name Van Mahotsava means 'the festival of trees'.

In a school, Van Mahotsava was celebrated. 250 students took part in the festival with zeal and helped each other in planting trees. Look at the table given below.

Now, Answer the following :

Q. Find the probability of planting Marigold.

Detailed Solution: Question 8

No. of marigold = 28

Total plants = 100

probability = 28/100

Test: Probability- Case Based Type Questions - Question 9

Van Mahotsava is a tree planting festival which is celebrated annually in the month of July. During this festival thousands of trees are planted all over India. The name Van Mahotsava means 'the festival of trees'.

In a school, Van Mahotsava was celebrated. 250 students took part in the festival with zeal and helped each other in planting trees. Look at the table given below.

Now, Answer the following :

Q. Find the probability of not planting Rose.

Detailed Solution: Question 9

No. of Rose = 32

No. of other plants = 100 – 32 = 68

Probability of planting plants other then rose = 68/100

Test: Probability- Case Based Type Questions - Question 10

Van Mahotsava is a tree planting festival which is celebrated annually in the month of July. During this festival thousands of trees are planted all over India. The name Van Mahotsava means 'the festival of trees'.

In a school, Van Mahotsava was celebrated. 250 students took part in the festival with zeal and helped each other in planting trees. Look at the table given below.

Now, Answer the following :

Q. Find the sum of probability of planting Rose, Marigold, Chameli and Jasmine.

Detailed Solution: Question 10

Total No. of plants = 100

Sum of probability of planting Rose + Marigold + Chameli + Jasmine

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