Probability Class 10 MCQ

Probability Class 10 MCQ with Answers – Maths Class 10 MCQ Online Test are covered in this Article. Probability Class 10 MCQ Test contains 30 questions. Answers to MCQs on Probability Class 10 MCQ with Answers Maths are available at the end of the last question. These MCQ have been made for Class 10 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.

Board CBSE
Textbook Maths (NCERT)
Class Class 10
Chapter Chapter 15 Probability
Category MCQ Questions for Class 10 Maths with Answers

Probability Class 10 MCQ with Answers – Maths Class 10 MCQ Online Test

Ques1. The sum of the probabilities of all the elementary events of an experiment is

(a) 0
(b) 1
(c) -1
(d) 2

Ques2. If the probability of an event is 0, then the event is called

(a) Impossible
(b) independent
(c) dependent
(d) None of these

Ques3. The probability that cannot exist is

(a) 0.0000003
(b) 2.5%
(c) -1
(d) 1

Ques4. The probability of a sure event is

(a) 1
(b) -1
(c) 0.5
(d) 0.7




Ques5. If P(E)=0.25, then probability of ‘not E’ is

(a) 0.65
(b) 0.85
(c) 0.25
(d) 0.75

Ques6. A bag has 8 white balls, 9 red balls and 2 blue balls. If we take a ball randomly, then what is probability of not getting red ball

(a) 9/19
(b) 8/19
(c) 10/19
(d) 2/19

Ques7.  A number is chosen at random from the numbers -3, -2, -1,0,1,2,3. Then the probability that x²<5  is

(a) 3/7
(b) 5/7
(c) 4/7
(d) 2/7

Ques8. A bag has 7 blue marbles and some purple marbles. If the probability of drawing a purple ball is triple that of a blue marble, then the number of purple marbles are

(a)21
(b)25
(c)12
(d)20

Ques9. 50 books are numbered from 1 to 50. Find the probability of getting a prime number

(a) 10/50
(b) 3/10
(c) 2/10
(d) 4/10

Ques10. What is the probability of getting 53 Mondays in a leap year

(a)2/7
(b) 1/7
(c) 1/365
(d) 52/366

Probability Class 10 MCQ with Answers – Maths Class 10 MCQ Online Test

Ques11. A card is drawn from a well shuffled deck of 52 cards. Find the probability of not getting an ace is

(a) 2/13
(b) 12/13
(c) 13/13
(d) 1/13

Ques12. The probability of getting an even number in a single throw of a dice is

(a)1/3
(b) 2/3
(c) 1/2
(d) 4/3

Ques13. Three coins are tossed simultaneously. The probability of getting exactly two heads is

(a)1/8
(b)1
(c) 1/2
(d) 3/8

Ques14. The probability of getting a vowel from the word SAMEER is

(a)2/6
(b) 3/6
(c) 1/3
(d) 1/6

Ques15.  A man calculates that probability of his winning the first prize is 11% in a lottery. If 8,500 tickets are sold, how many tickets has he bought

(a)900
(b)925
(c)930
(d)935




Ques16. 15 defective bulbs are accidentally mixed with 110 good bulbs. One bulb is taken out at random. What is the probability that the bulb taken out is a good one

(a) 115/125
(b) 110/125
(c) 15/125
(d)1

Ques17. Five cards of the ten, jack, queen, king and ace of diamonds, are well shuffled with their face downwards. If the king is drawn and put aside, what is the probability that the second card picked up is a king

(a)0
(b)0.25
(c)0.20
(c)1

Ques18. 100 cards are numbered from 1 to 100. Find the probability of getting a number which is divisible by 7

(a) 7/50
(b) 14/50
(c) 17/50
(d) None of tâ„Žese

Ques19. One card is drawn from a well shuffled deck of 52 cards. What is the probability of getting the jack of hearts

(a)0.11
(b) 0.019
(c)0.19
(d)0.25

Ques20. A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 2 and 11 is

(a) 4/25
(b) 3/50
(c)1/25
(d)2/25

Probability Class 10 MCQ with Answers – Maths Class 10 MCQ Online Test

Ques21. Two coins are thrown simultaneously. Find the probability of getting 0 head.

(a)1
(b)0
(c) 1/4
(d) 3/4

Ques22. A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1,2,3……10, then the probability that it will point to a multiple of 3 is:

(a)1/10
(b) 3/10
(c) 2/10
(d)None of these

Ques23. 13 cards numbered 1,2,3………13 are put in a box and mixed thoroughly. Mehak draws one card from the box. Then the probability that the number on the card is an even number

(a) 3/13
(b) 4/13
(c) 5/13
(d) 6/13

Ques24. Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from the box. Then the probability that the number on the card is a perfect square

(a) 9/100
(b) 10/100
(c) 11/100
(d)12/100

Ques25. A bag contains 15 pens. Some are red and others are blue. If a pen is drawn at random from the bag, the probability that it is red is 1/3, then the number blue pens in the bag is:

(a)9
(b)10
(c)11
(d)12

Ques26. An event is very unlikely to happen. Its probability is closest to

(a)0.1
(b)0.01
(c)0.0001
(d)0.0000001

Ques27. If the probability of an event is p, the probability of its complementary event will be

(a)1
(b)p
(c)1-p
(d)1+p




Ques28.  The probability of getting a defective bulb in a lot of 200 is 0.055. The number of defective bulb in the lot is

(a)11
(b)12
(c)13
(d)125

Ques29. A dice is thrown once. Then the probability of getting number greater than 5 is

(a) 1/6
(b) 1/3
(c) 2/3
(d)0

Ques30. Two dice are thrown at the same time. Probability of obtaining a sum of 8 is

(a) 1/6
(b) 7/36
(c) 5/36
(d) 5/6

Probability Class 10 MCQ with Answers – Maths Class 10 MCQ Online Test

Correct Answers with Solutions

1. Correct option (b)

Sol: The sum of the probabilities of all the elementary events of an experiment is 1

2. Correct option(a)

Sol: If probability of an event is 0, then this means that the event cannot be happened. This type of event is called impossible event.

3. Correct option(c)

Sol: The probability lies between 0 and 1. So, it cannot be negative.

4. Correct option (a)

Sol: The probability of a sure event is 1

5. Correct option (d)

Sol: P(E) + P (not E) = 1
P (not E) = 1-P(E)
P (not E) = 1-0.25
P (not E) =0.75

6. Correct option(c)

Sol: Total number of balls = 8+9+2 = 19
Total number of red balls = 9
Probability of getting a red ball = 9/19
Probability of not getting a red ball =1- 9/19
=  19−9/19
= 10/19

7. Correct option(b)

Sol:  Total numbers are 7 i.e. -3, -2, -1,0,1,2,3
Squares of these numbers are 9,4,1,0,1,4,9
So, square of 5 numbers is less than 5.
P (x²<5) = 5/7

8. Correct option(a)

Sol: Let the number of purple marbles be x
Total number of marbles will be x+7
According to question
x/(x+7)  = 3 × 7/(x+7)
x = 21

9. Correct option(b)

Sol:  Total prime numbers between 1 to 50 are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47
Total = 15
P (getting prime number) = 15/50 = 3/10

10. Correct option (a)

Sol: Total number of weeks in a leap year =366/7 = 52 2/7
This means that 52 complete weeks which contains 52 Mondays and 2 days are remaining.
These two days can be (Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)
Total pairs =7
Mondays occurring pairs = 2
P (53 Mondays) = 2/7

11. Correct option (b)

Sol: Total number of cards =52
Total number of ace cards in a deck = 4
P (ace) = 4/52 =1/13
P (not an ace) = 1-1/13 = 12/13

12. Correct option (c)

Sol: Total outcomes = 6 = 1,2,3,4,5,6
Even numbers = 3 = 2,4,6
P (even numbers) = 3/6 =1/2

13. Correct option (d)

Sol: Total number of events = 2³ = 8 = [HHH, HHT, HTH, THH, HTT, THT, TTH, TTT]
P (getting two heads) = 3/8




14. Correct option (b)

Sol: Total number of letters in SAMEER is 6
Total number of vowels are 3 = A, E, E
P (getting a vowel) = 3/6

15. Correct option (d)

Sol: Total number of tickets sold = 8,500
Number of tickets he bought = (11/100) × 8500
= 935

Probability Class 10 MCQ with Answers – Maths Class 10 MCQ Online Test

16. Correct option (b)

Sol: Total number of bulbs = 15+110 = 125
P (getting good bulb) = 110/125

17. Correct option(a)

Sol: Total number of cards = 5
If the king is drawn and put aside, then total number of cards = 4
P (picking a king) = 0/4 = 0

18. Correct option (a)

Sol: Total number of cards = 100
Total numbers which are divisible by 7 = 7,14,21,28,35,42,49,56,63,70,77,84,91,98 = 14
P (getting a number divisible by 7) = 14/100 =7/50

19. Correct option(b)

Sol: total number of cards = 52
Total number of jack of hearts = 1
P (getting jack of hearts) = 1/52 =0.019

20. Correct option(c)

Sol:  Total numbers = 50
Numbers that are multiple of 2 = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Numbers that are multiple of 11 = 11, 22, 33, 44
Numbers that are multiple of 2 and 11 = 22, 44
P (multiple of 2 and 11) = 2/50 =1/25

21. Correct option(c)

Sol:   Total number of events = 22 = 4 = [HH, HT, TH, TT]
P (getting 0 head) = 1/4

22. Correct option(b)

Sol:  Total numbers = 10
Multiple of 3 = 3,6,9 = 3
P (getting a multiple of 3) = 3/10

23. Correct option(d)

Sol:  Total number of cards = 13
Even numbers = 2,4,6,8,10,12 = 6
P (getting an even number) = 6/13

24. Correct option(a)

Sol:  Total number of cards = 100
Total number of perfect squares= 4,9,16,25,36,49,64,81,100 = 9
P (getting a perfect square) = 9/100

25. Correct option(b)

Sol:  Let the number of blue pens be x.
P (red) + P (blue) = 1
P (blue) = 1 – P (red)
x/15 = 1 – 1/3
⇒ x/15 = 2/3
⇒ x = (2×15)/3 = 10
So, there are 10 blue pens.

26. Correct option (d)

Sol: The probability of an event which is very unlikely to happen is closest to zero.
Thus, 0.0000001 is the probability of an event which is very unlikely to happen.

27. Correct option (c)

Sol: The sum of probability of an event and it complementary event =p + P (complementary event) = 1
P (complementary event) = 1-p

28. Correct option (a)

Sol: Total number of bulbs = 200
Probability of getting a defective bulb = Number of defective bulb /Total number of bulbs
0.055 = Number of defective bulb/200
Number of defective bulbs = 0.055 × 200 = 11

29. Correct option (a)

Sol: Total number of events = 6
Numbers greater than 5 = {6} =1
P (getting number greater than 5) = 1/6

30. Correct option(c)

Sol: Total number of events = 6×6 = 36 = {(1,1) (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
Number of events whose sum is 8 = {(2,6), (3,5), (4,4), (5,3), (6,2)} = 5
P (obtaining a sum of 8) = 53/6

 

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