CBSE Class 9 Mathematics Probability Worksheet Set A

Question. If P is the probability of happening of an event E, then
(a) P ≤ 0
(b) 0 < P ≤ 1
(c) 0 ≤ P ≤ 1
(d) –1 ≤ P ≤ 1
Answer : C

Question. In an experiment, E and F are the only two possible outcomes. If P(E) = 0.62, then P(F) is equal to
(a) 0.38
(b) 0.28
(c) 0.72
(d) 0.62
Answer : A

Question. In a class, there are a boys and b girls. A student is selected at random, then probability of selecting a girl is
(a) a/b
(b) a/a + b
(c) b/a + b
(d) b/a
Answer : C

Question. If P(E₁) = 1/6, P(E₂) = 1/3, P(E₃) = 1/4, where E₁, E₂, E₃ and E₄ are elementary events of a random experiment, then P(E₄) is equal to
(a) 1/2
(b) 2/3
(c) 1/3
(d) 1/4
Answer : D

Question. Three coins are tossed simultaneously 500 times and we get the following observations :
Three heads = 104, Exactly 2 heads = 166, Exactly 1 head = 120 and No head = 110.
The probability of non-occurrence of exactly 2 heads is
(a) 0.16
(b) 0.384
(c) 0.4
(d) 0.668
Answer : D

Question. Events E₁, E₂, E₃ are the only possible events of an experiment and their probabilities are recorded. Which of the following can be the possible correct answer?
(a) P(E₁) = 0.3, P(E₂) = 0.4, P(E₃) = 0.3
(b) P(E₁) = 0.2, P(E₂) = 0.4, P(E₃) = 0.3
(c) P(E₁) = 0.6, P(E₂) = –0.3, P(E₃) = 0.7
(d) P(E₁) = 0.4, P(E₂) = 0.1, P(E₃) = 0.3
Answer : A

Question. In a football match, Ronaldo makes 9 goals from 12 penalty kicks. The probability of converting a penalty kick into a goal by Ronaldo, is
(a) 3/4
(b) 1/6
(c) 1/3
(d) 2/5
Answer : A

Question. A coin is tossed 600 times, if the probability of getting a head is 3/8, how many times tail is obtained?
(a) 525
(b) 375
(c) 625
(d) 725
Answer : B

Question. The weights of 40 students of a class are given below:

Find the probability that a person is selected at random has weight between 41 and 44 kg.
(a) 2/5
(b) 3/5
(c) 7/10
(d) 3/10
Answer : D

Question. While working out a question on probability it was found that there were 197 letters of English alphabet. The following was observation of occurrence of each letter : a = 40, b = 8, e = 14, r = 25, i = 20; others (not including vowels) = 90.
The probability of choosing a vowel is
(a) 70/197
(b) 36/197
(c) 100/197
(d) 74/197
Answer : D

Question. The CBSE has prepared a list of 600 examiners in Mathematics. Out of these, 250 examiners are from government schools and 350 from private schools. Find the probability that an examiner selected at random from the list is from government school.
(a) 5/8
(b) 3/8
(c) 1/4
(d) 5/12
Answer : D

Question. The percentage of attendance of different classes in a year in a school is given below.

What is the probability that the class attendance is more than 80%?
(a) 1 6
(b) 1/3
(c) 5/6
(d) 1/2
Answer : D

Question. A bag contains 100 coins and each coin is marked from 1 to 100. One coin is picked at random. The probability that the number on the coin is not a prime number, is
(a) 1/4
(b) 3/4
(c) 2/5
(d) 4/5
Answer : B

Question. On a particular day, 187 two wheelers, 178 three wheelers and 135 four wheelers passed through a crossing. What is the probability that next vehicle will pass through crossing is not a three wheeler?
(a) 161/250
(b) 89/250
(c) 187/500
(d) 27/100
Answer : A

Question. A surveyor was asked to survey 131 families in a locality in which newspaper is read by the families. He submitted the data as :

Find the ratio of the probability of the families who read ‘The Times of India’ to the families who read ‘The Navbharat Times’.
(a) 20 : 37
(b) 1 : 1
(c) 37 : 20
(d) 1 : 20
Answer : C

Question. In a group of 60 persons, 35 like coffee. Out of this group, if one person is chosen at random, then what is the probability that he or she does not like coffee?
(a) 7/12
(b) 5/12
(c) 5/7
(d) 3/12
Answer : B

Question. The following table shows the birthday of 40 students of class IX :

Find the probability that a student was born on Saturday.
(a) 2/15
(b) 1/8
(c) 1/3
(d) 1/2
Answer : B

Question. A die is tossed 216 times. The results are as follows :

The probability of getting 2 is
(a) 25/216
(b) 35/216
(c) 36/216
(d) 40/216
Answer : B

Question. 80 bulbs are selected at random from a lot and their life time (in hrs) is recorded in the form of a frequency table as given below :

One bulb is selected at random from the lot. The probability that its life is 1150 hours is
(a) 1/80
(b) 7/16
(c) 0
(d) 1
Answer : C

Question. The following table gives the distribution of IQ (intelligence quotient) of 60 pupils of class IX in a school.

Find the probability that a student of class IX selected at random has IQ in the interval 90-100.
(a) 1/60
(b) 1/8
(c) 1/5
(d) 4/15
Answer : D

Question. In 75 throws of a die, the outcomes were noted as follows :

The die is thrown at random. What is the probability of not getting a prime number?
(a) 3/75
(b) 3/5
(c) 13/25
(d) 12/25
Answer : C

Question. The following table shows the age distribution of patients of malaria in a village during a particular month.

If an affected person is selected at random, then find the probability that a person is below 40 years.
(a) 22/25
(b) 3/25
(c) 17/25
(d) 1
Answer : A

Question. The following distribution gives the time taken by 30 students to solve a problem.

Find the probability that the time taken by a student to solve the problem lies in the interval 30-35 or 35-40
(a) 1/2
(b) 13/30
(c) 1/4
(d) 1/5
Answer : B

Question. In a survey, out of all students, 53% said ‘No’, 20% said ‘Yes’ and the remaining said ‘They could not decide’. If a student is chosen at random, then what is the chance that the student did not say ‘No’?
(a) 15/100
(b) 43/100
(c) 47/100
(d) 57/100
Answer : C

Question. 9 bags of wheat flour, each marked 6 kg, actually contained the following weights of flour (in kg): 6.01, 5.97, 6.05, 6.08, 6.03, 5.98, 6.04, 6.08, 5.96. The probability that a bag chosen at random, contains less than 6 kg of flour is
(a) 2/9
(b) 1/3
(c) 4/9
(d) 7/9
Answer : B

Question. In a survey, out of 450 women, 168 were found to be working. If a woman is selected at random, the probability that she is not working is
(a) 66/225
(b) 47/75
(c) 134/225
(d) 41/75
Answer : B

Question. In a sample study of 642 people, it was found that 514 people have a high school certificate.
If a person is selected at random, the probability that the person has a high school certificate is :
(a) 0.5
(b) 0.6
(c) 0.7
(d) 0.8
Answer : D

Question. In a medical examination of students of a class, the following blood groups are recorded :

A student is selected at random from the class. The probability that he/she has blood group B, is
(a) 1/4
(b) 13/40
(c) 3/10
(d) 1/8
Answer : C

Question. On one page of a directory, there are 200 telephone numbers. The frequency distribution of the unit place digit is given as under :

From this page, one of the numbers is chosen at random. What is the probability that the unit place digit in the chosen number is 3 or 7?
(a) 2/5
(b) 3/100
(c) 9/50
(d) 29/200
Answer : C

Question. A Mathematics book contains 350 pages. A page is selected at random. What is the probability that the number on the page is divisible by 14?
(a) 1/8
(b) 1/10
(c) 1/14
(d) 2/5
Answer : C

Question. The following table shows the blood group of 60 students of a class.

One student of the class is chosen at random.
What is the probability that the chosen student has blood group O– ?
(a) 23/60
(b) 3/20
(c) 4/15
(d) 1/5
Answer : A

Question. Two coins are tossed 1000 times and the outcomes are recorded as below :

The probability for at most one head is
(a) 1/5
(b)1/4
(c) 4/5
(d) 3/4
Answer : C
 

Case Based MCQs

Case I : Read the following passage and answer the questions from 1 to 5.
A jeweller has different types of bracelets in his shop. Sunita wants to purchase a bracelet for her sister’s birthday gift. When Sunita goes to shop, she founds the following data which represents the number of bracelets of different types in the shop.

1. Find the probability that Sunita chooses Chain Bracelet.
(a) 23/180
(b) 37/180
(c) 37/90
(d) 23/90
Answer : B

2. Find the probability that she chooses Pearl bracelet.
(a) 23/180
(b) 37/180
(c) 37/90
(d) 23/90
Answer : D

3. What is the probability of a sure event?
(a) 1
(b) 0
(c) 1/2
(d) 2/3
Answer : A

4. What is the probability that she chooses neither Bangle bracelet nor Pearl bracelet?
(a) 23/180
(b) 45/180
(c) 109/180
(d) 23/45
Answer : C

5. What is the probability that Sunita purchased a Cuff bracelet?
(a) 6/17
(b) 2/13
(c) 1
(d) 2/15
Answer : D

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 9 Mathematics Worksheet - Probability