MCQ Questions For Class 10 Probability

Probability Class 10 MCQ is one of the best strategies to prepare for the CBSE Class 10 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Probability class 10, which will help them all through their board test.

Probability Class 10 MCQ Questions with Answers

Class 10 Math MCQ with answers are given here to chapter 15 Probability . These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 10 Mathematics syllabus. By Solving these Class 10 MCQs, you will be able to analyze all of the concepts quickly in the chapter and get ready for the Class 10 Annual exam.

Learn Circle Class 10 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 10 Mathematics Quadratic Equation MCQ with answers given below.

Question 1. Two fair dice are thrown. Find the probability that both dice show different numbers.
(a) 1/6
(b) 5/6
(c) 32/36
(d) 29/36

Question 2. A box contains 32 coloured marbles. Eight of them are red marbles and the rest are either blue or green marbles. A marble is drawn at random. Calculate the probability of drawing a marble which is not red in colour.
(a) 2/3
(b) 5/8
(c) 3/4
(d) 7/16

Question 3. Set P = {x :5 ≤ x ≤ 22, xis an integer} . If an element from set P is picked at random, calculate the probability that it is a prime number.
(a) 5/18
(b) 1/3
(c) 7/9
(d) 5/6

Question 4. The given incomplete table shows the number of coins in a box If a coin is drawn at random. the probability of drawing a ` 2 coin is 3/10 . Find the probability of drawing a 50 p coin.
(a) 1/10
(b) 2/10
(c) 1/5
(d) 2/15

Question 5. A factory has 120 workers in January. 90 of them are female workers. In February, another 15 male workers were employed. A worker is then picked at random. Calculate the probability of picking a female worker. 
(a) 3/4
(b) 4/9
(c) 2/3
(d) 1/3

Question 6. What is the probability of getting an even number when a die is rolled?
(a) 1/6
(b) 1/36
(c) 1/2
(d) 1/12

Question. 7 What is the probability of getting a prime number in a throw of a die?
(a) 2
(b) 1/2
(c) 3/2
(d) 6

Question 8. Cm In a single throw of two dice, what is the probability of getting a sum of 10?
(a) 1/12
(b) 1/36
(c) 1/6
(d) 1/8

Question 9. A fair coin is tossed thrice. Identify the probability of getting 3 tails as a fraction.
(a) 1/8
(b) 3/8
(c) 7/8
(d) 1/4

Question 10. An unbiased coin is tossed. What is the probability that neither head nor tail turns up?
(a) 1
(b) 1/2
(c) 0
(d) 1/3

Question 11. A certain class has ‘s’ students. If a student is picked at random, the probability of picking a boy is 8/13. If the class has 24 boys, what is the value of ‘s’?
(a) 26
(b) 39
(c) 52
(d) 60

Question. 12 If a leap year is selected at random what is the probability that it will contain 53 Tuesdays?
(a) 1/7
(b) 2/7
(c) 3/7
(d) 4/7

Question 13. Find the probability that in a family of 3 children, there is at least one boy.
(a) 3/4
(b) 1/8
(c) 4/8
(d) 5/8

Question. 14 All the three cards of spades are removed from a well-shuffled pack of 52 cards. A card is drawn at random from the remaining pack. Find the probability of getting a queen?
(a) 3/52
(b) 3/49
(c) 1/26
(d) 1/52

Question. 15 A box contains 20 balls bearing numbers 1,2,3,…,20.A ball is drawn at random from the box. What is the probability that the number on the balls is not divisible by 10?
(a) 9/10
(b) 1/10
(c) 9/5
(d) 1/5 

Question 16. If the zeroes of the quadratic polynomial ax² + bx + c, a ≠ 0 are equal, then   
(a) c and a have opposite signs
(b) c and b have opposite signs
(c) c and a have the same sign
(d) c and b have the same sign

Question 17. A box contains 60 pens which are blue inked or black-inked. If a pen is picked at random, the probability of picking a blueinked pen is .What is the number of blueinked pens in the box?
(a) 32
(b) 48
(c) 30
(d) 24

Question 18. A coin is tossed successively three times. What is the probability of getting exactly one head or two heads?
(a) 3/4
(b) 1/4
(c) 1/3
(d) 2/3

Question 19. The area of the circle that can be inscribed in a square of side 6 cm is     
(a) 36p cm²
(b) 18p cm²
(c) 12p cm²
(d) 9p cm²

Question 20. The zeroes of the quadratic polynomial x² + kx + k, k ≠ 0,   
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal

Question 21. The value of (tan 1° tan 2° tan 3° … tan 89°) is     
(a) 0
(b) 1
(c) 2
(d) 1/2

Question 22. What is the second stair where any two out of three will meet together?     
(a) Amar and Akbar will meet on 21th stair.
(b) Akbar and Anthony will meet on 35th stair.
(c) Amar and Anthony will meet on 21th stair.
(d) Amar and Anthony will meet on 35th stair

Question 23. An event is very unlikely to happen. Its probability is closest to     
(a) 0.0001
(b) 0.001
(c) 0.01
(d) 0.1

Question 24. If the probability of an event is p, then the probability of its complementary event will be       
(a) p – 1
(b) p
(c) 1 – p
(d) 1− 1/p

Question 25. If cos (α + β) = 0, then sin(a – b) can be reduced to     
(a) cos b
(b) cos 2b
(c) sin a
(d) sin 2a

Whoever needs to take the CBSE Class 10 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 10 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Probability Class 10 MCQ are ready by the subject specialists themselves.

Question 26. The points (–4, 0), (4, 0) and (0, 3) are the vertices of a        
(a) right triangle
(b) isosceles triangle
(c) equilateral triangle
(d) scalene triangle

Question 27. What is the first stair where any two out of three will meet together?       
(a) Amar and Akbar will meet for the first time on 15th stair.
(b) Akbar and Anthony will meet for the first time on 35th stair.
(c) Amar and Anthony will meet for the first time on 21th stair.
(d) Amar and Akbar will meet for the first time on 21th stair.

Question 28. The zeroes of the quadratic polynomial x² + 99x + 127 are       
(a) both positive.
(b) both negative.
(c) one positive and one negative.
(d) both equal.

Question 29. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively       
(a) 4 and 24
(b) 5 and 30
(c) 6 and 36
(d) 3 and 24

Question 30. If 2x + y = 23 and 4x – y = 19, then the values of (5y = 2x) and (y/x-2) are     
(a) 30, 5/7
(b) 31, 5/ 7
(c) 32, 5 /7 ,
(d) None of these.

Question 31. The pair of equations y = 0 and y = –7 has     
(a) one solution
(b) two solutions
(c) infinitely many solutions
(d) no solution

Question 32. If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the product of the other two zeroes is       
(a) b – a + 1
(b) b – a – 1
(c) a – b + 1
(d) a – b – 1

Question 34. In the figure given here, ∠BAC = 90° and AD ⊥ BC. Then 

(a) BD × CD = BC²
(b) AB × AC = BC²
(c) BD× CD = AD²
(d) AB × AC = AD²

Question 35. Who reaches the nearest point?     
(a) Amar
(b) Akbar
(c) Anthony
(d) All together reach to the nearest point.

Question 36. If a pair of linear equation is consistent, then the lines will be     
(a) parallel
(b) always coincident
(c) intersecting or coincident
(d) always intersecting

Question 37. If cos 9a = sin a and 9a < 90°, then the value of tan 5a is     
(a) 1/√ 3
(b) √3
(c) 1
(d) 0

Question 38. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is     
(a) 5
(b) 12
(c) 11
(d) 7 + 5

Question 39. How many times can they meet in between on same stair ?       
(a) 3
(b) 4
(c) 5
(d) No, they cannot meet in between on same stair.

Question 40. Who takes least number of steps to reach near hundred?     
(a) Amar
(b) Akbar
(c) Anthony
(d) All of them take equal number of steps.

Question 41. Which theorem will you use to solve this problem?     
(a) Pythagoras theorem
(b) Basic proportionality theorem
(c) Factor theorem
(d) Fundamental Theorem of Arithmetic

Question 42. What is the distance of AC?     
(a) 15 km
(b) 18 km
(c) 10 km
(d) 20 km

Question 43. What is the distance of BC?     
(a) 12 km
(b) 10 km
(c) 20 km
(d) 24 km

Question 44. If ∠A is supposed to be 30°, then ∠B = ?     
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Question 45. It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be   
(a) 10 m
(b) 15 m
(c) 20 m
(d) 24 m

Question 46. Find how much distance will be saved in reaching city B from city A after the construction of the highway.     
(a) 6 km
(b) 8 km
(c) 10 km
(d) 12 km

Question 47. A restaurant operator checked a sample of 200 plates and found that 10 of them were defective. The chef of the restaurant picks a plate from this sample. What is the probability that he will get a defective plate?
(a) 0.5
(b) 0.05
(c) 0.2
(d) 20

Question 48. 90% of the mangoes in a bag are good. If a mango is chosen randomly from the box, find the probability of getting a bad mango.
(a) 9/100
(b) 1/100
(c) 9/10
(d) 1/10

Question 49. If each flower pot costs ` 50. How much they have to pay for 100 pots?   
(a) ₹ 2000
(b) ₹ 5000
(c) ₹ 3000
(d) ₹ 6000

Question 50. If P(A∪B) = 0.65,P(A∩B) = 0.15, find P(A̅)+P( B̅) .
(a) 1.5
(b) 1.4
(c) 1.3
(d) 1.2

Question 51. AOBC is a rectangle whose three vertices are A(0, 3), O(0,0) and B(5, 0). The length of its diagonal is:     
(a) 5
(b) 3
(c) √34
(d) 4

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