CBSE Class 9 Maths Probability MCQs

Question. There are 25 cards numbered from 1 to 25. One card is drawn at random. What is the probability that the number on this card is not divisible by 3?
(A) 6/25
(B) 17/25
(C) 19/25
(D) 11/25
Answer : B

Question. The given table shows the ages (in years) of 360 patients, getting medical treatment in a hospital.

One of the patients is selected at random.
The probability that his age is
(a) 30 years or more but less than 40 years, is ______.
(b) 10 years or more, is _____.
      (a)          (b)
(A) 1/6          2/9
(B) 1/6          0 
(C) 2/9          1
(D) 1/6          1
Answer : D

Question. An urn contains 11 oranges, 8 mangoes and 13 apples. A fruit is drawn at random. What is the probability of not drawing an apple ?
(A) 15/32
(B) 19/32
(C) 11/32
(D) 13/32
Answer : B

Question. Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is ______.
(A) 5/36
(B) 5/12
(C) 11/36
(D) 1/12
Answer : C

Question. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
(A) 10/35
(B) 25/35
(C) 15/35
(D) None of these
Answer : A

Question. A die is thrown once. The probability of getting a number greater than 6 is ______.
(A) 1/2
(B) 1/3
(C) 2/3
(D) 0
Answer : D

Question. The probability of guessing the correct answer to a question is x/2 . If the probability of not guessing the correct answer to this question is 2/3, then x = ______.
(A) 2
(B) 3
(C) 2/3
(D) 1/3
Answer : C

Question. Without looking at any page, a number is chosen at random from the page. What is the probability that the digit at the units place of the number chosen is greater than 6?
(A) 3/10
(B) 6/10
(C) 4/10
(D) None of these
Answer : A

Question. The probability that a red marble selected at random from a jar containing x red, y blue and z green marbles is ______.
(A) y/x+y+z
(B) x+z/x+y+z
(C) x/x+y+z
(D) y+z/x+y+z
Answer : C

Question. One card is drawn from a well-shuffled deck of 52 cards. The probability of drawing a queen is ______.
(A) 1/12
(B) 1/13
(C) 1/50
(D) 3/10
Answer : B

Question. State ‘T’ for true and ‘F’ for false.
I. The probability of an impossible event is 0.
II. Sample space when two coins are tossed is {H, T, T, H}
III. Probability of an event ‘A’+ probability of an event ‘not A’ = 1
IV. Probability of choosing a vowel from the English alphabets is 1/5 .
V. The range of probability of any event lies between –1 to 1.
      I      II        III      IV     V
(A) T     F        F       T      T
(B) T     F        T       F      T
(C) F     T        F       T      T
(D) T     F        T       F      F
Answer : D

Question. A card is drawn at random from a well shuffled pack of 52 cards. The probability that the card drawn is neither a red card nor a queen is ______.
(A) 6/13
(B) 5/13
(C) 4/13
(D) 2/13
Answer : A

Question. A city survey found that 47% of teenagers have a part time job. The same survey found that 30% plan to attend college.
Find the probability that a teenager has a part time job.
(A) 37/100
(B) 30/100
(C) 40/100
(D) 47/100
Answer : D

Question. In a coffee shop, there are 12 pastries for sale, including 6 chocolate muffins. What is the probability that a randomly selected pastry will be chocolate muffin?
(A) 2/3
(B) 1/2
(C) 1/4
(D) 1
Answer : B

Question. The following table gives the ages of teachers in XYZ school

A teacher is selected at random from the group, then which of the following statements is INCORRECT?
(A) Probability of a teacher having age greater than or equal to 35, is 131/200.
(B) Probability of a teacher having age more than or equal to 25 and less than 40, is 119/200
(C) Probability of a teacher selected is of age not less than 30, is 17/200.
(D) Probability of a teacher selected from the youngest group, is 14/200.
Answer : C

Question. Ram and Priya are playing a game. Ram’s winning probability is 1/3 and sum of their winning probabilities is 1. Numerator of Priya’s winning probability is _____.
(A) 2
(B) 1
(C) 3
(D) None of these
Answer : A

Question. A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of AC sets in their home. The information so obtained, is shown here 

Find the probability of households :
(a) earning ₹(15000-19999) per month and having more than one AC.
(b) earning ₹ 25000 and more per month and having exactly one AC.
(c) not having any AC
      (a)              (b)               (c)
(A) 1/8           11/40           1/200
(B) 3/80         17/40           3/400
(C) 1/8           17/40           1/200
(D) 3/80         11/40           3/400
Answer : D

Question. Three coins are tossed simultaneously 100 times. The following outcomes are recorded:

Find the probability of getting more than one tail.
(A) 49/100
(B) 27/50
(C) 51/100
(D) 23/100
Answer : C

Question. A box contains 5 green balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a green ball, then find the number of white balls in the box.
(A) 10
(B) 5
(C) 15
(D) 20
Answer : A

Question. Tanya has the following coins in her pocket: ₹ 1, ₹ 2, ₹ 5, ₹ 10.
She selects one coin at random to put in a charity collection box. What is the probability that she
(i) gives more than 20p?
(ii) has less than ₹ 5 left in her pocket?
     (i)                   (ii)
(A) 1                   1/2
(B) 1/2                1
(C) 3/4                1/2
(D) 1/2                3/4
Answer : A

Question. Krish went to play a lucky draw contest. 70 tickets of a lucky draw were sold. If the probability of Krish winning the draw is 1/14, then the number of tickets bought by Krish is _____.
(A) 5
(B) 10
(C) 15
(D) 20
Answer : A

Question. Two coins are tossed simultaneously. Find P, Q and R respectively.

(A) 1/2, 1/4, 1/4
(B) 1/4, 1/4, 1/2
(C) 1/4, 1/2, 1/4
(D) 1/2, 1/2, 1/4
Answer : C

DIRECTION (a - b) : One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing: 

Question a. ‘4’ or ‘6’ of diamond
(A) 5/52
(B) 1/52
(C) 1/13
(D) 1/26
Answer : D

Question b. Red ace
(A) 1/26
(B) 2/26
(C) 3/26
(D) 4/26
Answer : A

Question. Which of the following statements is CORRECT?
Cards marked with the numbers 2 to 101 are put in a box and mixed thoroughly.
One card is drawn from the box.
Statement-1 : Probability of prime numbers less than 20 is 2/25.
Statement-2 : Probability of perfect square is 9/100.
(A) Only Statement-1
(B) Only Statement-2
(C) Both Statement-1 and Statement-2
(D) Neither Statement-1 nor Statement-2
Answer : C

Question. There are 6 marbles in a box with number 1 to6 marked on each of them . What is the probability of drawing a marble with number 2 ?
(a) 1/6
(b) 1/5
(c) 1/3
(d) 1

Question. A coin is flipped to decide which team starts the game . What is the probability of your team will start ?
(a) 1/4
(b) 1/2
(c) 1
(d) 0

Question. A die is thrown once . What will be the probability of getting a prime number ?
(a) 1/6
(b) 1/2
(c) 1
(d) 0

Cards are marked with numbers 1 to 25 are placed in the box and mixed thoroughly. One card is drawn at random from the box. Answer the following questions (Q4-Q13)

Question. What is the probability of getting a number 5?
(a) 1
(b) 0
(c) 1/25
(d) 1/5

Question. What is the probability of getting a number less than 11?
(a) 1
(b) 0
(c) 1/5
(d) 2/5

Question. What is the probability of getting a number greater than 25?
(a) 1
(b) 0
(c) 1/5
(d) 2/5

Question. What is the probability of getting a multiple of 5?
(a) 1
(b) 0
(c) 1/25
(d) 1/5

Question. What is the probability of getting an even number?
(a) 1
(b) 0
(c) 12/25
(d) 13/25

Question. What is the probability of getting an odd number?
(a) 1
(b) 0
(c) 12/25
(d) 13/25

Question. What is the probability of getting a prime number?
(a) 8/25
(b) 9/25
(c) 12/25
(d) 13/25

Question. What is the probability of getting a number divisible by 3?
(a) 8/25
(b) 9/25 
(c) 12/25 
(d) 13/25

Question. What is the probability of getting a number divisible by 4?
(a) 8/25 
(b) 9/25 
(c) 6/25  
(d) 3/25

Question. What is the probability of getting a number divisible by 7?
(a) 8/25 
(b) 9/25 
(c) 6/25 
(d) 3/25

Question. A bag has 4 red balls and 2 yellow balls. A ball is drawn from the bag without looking into thebag. What is probability of getting a red ball?
(a) 1/6 
(b) 2/3 
(c) 1/3 
(d) 1

Question. A bag has 4 red balls and 2 yellow balls. A ball is drawn from the bag without looking into the bag. What is probability of getting a yellow ball?
(a) 1/6 
(b) 2/3  
(c) 1/3 
(d) 1

Question. What is the probability that the marble will be white?
(a) 1/6 
(b) 1/5
(c) 1/3 
(d) 1

Question. What is the probability that the marble will be red?
(a) 1/6 
(b) 1/2 
(c) 1 
(d) 0

Question. What is the probability that the marble will be blue?
(a) 3/10 
(b) 1/2 
(c) 1 
(d) 0

Question. What is the probability that the marble will be any one colour?
(a) 1/6 
(b) 1/2 
(c) 1 
(d) 0

Question. What is the probability that the marble will be red or blue?
(a) 1
(b) 4/5 
(c) 1/5
(d) 2/5

A die is thrown once, then answer the questions from 6 to 10.

Question. Find the probability of getting a prime number
(a) 1/6
(b) 1/2
(c) 1
(d) 0

Question. Find the probability of getting a number lying between 2 and 6
(a) 1/6
(b) 1/2
(c) 1
(d) 0

Question. Find the probability of getting an odd number.
(a) 1/6 
(b) 1/2
(c) 1
(d) 0

Question. Find the probability of getting an even number.
(a) 1/6
(b) 1/2
(c) 1
(d) 0

Question. Find the probability of getting a number greater than 4.
(a) 1/6
(b) 2/3
(c) 1/3
(d) 1

Question. What is the probability that the marble will be white?
(a) 1/6 
(b) 2/3 
(c) 1/3
(d) 1

Question. What is the probability that the marble will be red?
(a) 1/6 
(b) 2/3 
(c) 1/3 
(d) 1

Question. What is the probability that the marble will be green?
(a) 0.3
(b) 1/2 
(c) 1
(d) none of these

Question. What is the probability that the marble will be any one colour?
(a) 1/6 
(b) 1/2 
(c) 1
(d) 0

Question. What is the probability that the marble will be red or green?
(a) 2/5 
(b) 3/25 
(c) 1/5 
(d) none of these

Question. What is the probability that the marble will be blue?
(a) 1/6 
(b) 1/2
(c) 1
(d) 0

Cards are marked with numbers 1 to 50 are placed in the box and mixed thoroughly. One card is drawn at random from the box. Answer the following questions from 7 to 15.

Question. What is the probability of getting a number 5?
(a) 1
(b) 0
(c) 1/25
(d) 1/5

Question. What is the probability of getting a number less than 11?
(a) 1
(b) 0
(c) 1/5 
(d) 2/5

Question. What is the probability of getting a number greater than 50?
(a) 1
(b) 0
(c) 1/5 
(d) 2/5

Question. What is the probability of getting a multiple of 5?
(a) 1
(b) 0
(c) 1/25
(d) 1/5

Question. What is the probability of getting an even number?
(a) 1
(b) 1/2
(c) 12/25 
(d) 13/ 25

Question. What is the probability of getting an odd number?
(a) 1
(b) 1/2 
(c) 12/25 
(d) 13/25

Question. What is the probability of getting a prime number?
(a) 1
(b) 1/2 
(c) 4/10 
(d) 3/10

Question. What is the probability of getting a number divisible by 3?
(a) 8/25 
(b) 9/25 
(c) 12/25 
(d) 13/ 25

Question. What is the probability of getting a number divisible by 4?
(a) 8/25 
(b) 9/25 
(c) 6/25
(d) 3/25

Question. What is the probability of getting a number divisible by 7? 
(a) 8/25 
(b) 9/25 
(c) 6/25  
(d) 3/25