# MCQ Questions For Class 10 Probability

Students can refer to the following MCQ Questions for Class 10 Probability with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Probability Class 10 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Class 10 Probability MCQs Questions with Answers

We have provided below chapter wise MCQs questions for Class 10 Probability with answers which will help the students to go through the entire syllabus and practice multiple choice questions provided here with solutions. As Probability MCQs in Class 10 pdf download can be really scoring for students, you should go through all problems and MCQ Questions for Class 10 Maths provided below so that you are able to get more marks in your exams.

Question. 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

B

Question. 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

A

Question. 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

B

Question. 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

C

Question. 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

B

Question. 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

A

Question. 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

A

Question. 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

C

Question. 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

C

Question. 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

B

Question. The given figure shows two circles such that the radius of the small shaded circle is 1/3 . times the radius of the big circle. A dart is thrown randomly towards the circle. Find the probability that the dart hits the shaded target.

(a) 1/8
(b) 3/8
(c) 7/8
(d) 1/4

C

Question. Two dice are rolled at once. What is the probability of getting an even number on the first die or a total of 8?
(a) 4/9
(b) 5/9
(c) 7/9
(d) 2/9

B

Question. 7 marbles shown are kept in a tin.

If a marble is taken out randomly from the tin, state the probability that the marble has the number 2.
(a) 2/7
(b) 3/7
(c) 5/7
(d) 4/7

B

Question. A month is randomly selected from a year. An event X is defined as ‘the month with 30 days’. Identify the number of outcomes of event X.
(a) 1
(b) B
(c) 3
(d) 4

D

Question. A chess piece is randomly selected from a box that contains all the pieces used in the game of chess. Identify the sample space of this experiment.
(a) {King, Queen, Bishop, Knight}
(b) 1,2,3,4,5,6,7}
(c) {Bishop, Castle, King, Pawn, Queen, Knight}
(d) {King, Knight, Pawn, Ace, Queen, Castle, Bishop}

C

Question. 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

A

Question. 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

B

Question. 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

C

Question. 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

B

Question. 250 tickets are sold for a raffle. A girl calculates that the tickets bought by her family give them a 0.032 probability of winning first prize. How many tickets did the family buy?
(a) 60
(b) 9
(c) 50
(d) 8

D

Question. A coin is tossed two times. Find the probability of getting a tail at least once.
(a) 3/4
(b) 2/3
(c) 3/5
(d) 1/5

A

Question. A bag contains several coloured balls. 28 of them are red. If a ball is drawn at random, the probability of drawing a red ball is 4/9. x balls are added into the box. A ball is then drawn at random. If the probability of drawing a red ball is now 1/2 , find the value of x .
(a) 4
(b) 6
(c) 5
(d) 7

D

Question. A box contains a number of marbles with serial number 18 to 38.A marble is picked at a random. Find the probability that it is a multiple of 3.
(a) 3/5
(b) 7/20
(c) 3/4
(d) 1/3

D

Question. 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

D

Question. 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

A

Question. 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

A

Question. 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

C

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

B

Question. 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

B

Question. A box contains 24 coloured marbles. Eighteen of then are yellow and the rest are either red or blue. A marble is picked at random. Find the probability of picking an yellow marble.
(a) 1/4
(b) 3/4
(c) 3/8
(d) 1/8

B

Question. A box contains 40 marbles of red and blue colour. If a marble is picked at random, the probability of picking a blue marble is 3/8. Rana takes out one red marble and nine blue marbles and then picks a marble at random. Find the probability that it is a blue marble.
(a) 4/5
(b) 2/5
(c) 7/40
(d) 1/3

D

Question. 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

C

Question. 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

D

Question. 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

A

Question. 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

C

Question. 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

B

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

A

Question. 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.

B

Question. 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

C

Question. 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

B

Question. 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.

A

Question. 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

A

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

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

C

Question. 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.

B

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

D

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

C

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

B

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

A

Question. 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

C

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

A

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

C

Question. 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.

D

Question. 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.

C

Question. 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

A

Question. 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

B

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

D

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

C

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

C

Question. 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

C

Question. 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

B

Question. 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

D

Question. 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

D

One Word Questions :

Question. Cards marked with numbers 1,2,3, . . . . . . ,100 are placed in a bag and mixed thoroughly. One card is drawn. What is the probability that card drawn has an even number?

1/2

Question. A bag contains 20 cards numbering 1,2,3, . . . . . . . . . . , 20. One card is drawn from the bag. Find the probability that it has a prime number.

2/5

Question. If E be an event such that P(E) = 7/3 , what is P (not E) equal to?

4/7

Question. A bag contains 7 red, 5 white and 9 black balls. One ball is drawn from the bag. Find the probability that it is not a red ball.

2/3

Question. What are all the possible outcomes when a coin is tossed twice?

HH, HT, TH, TT

Question. A child has a block in the shape of a cube with one letter written on each face as shown below:-

The cube is thrown once. Find the probability of getting B or C.

1/2

Question. A bag contains 5 red balls and n green balls. If the probability of drawing a green ball is three times that of a red ball then what is the value of n?

15

Question. A pair of dice is thrown once. Find the probability of getting a sum of 11.

1/18

Question. Five male and three female candidates are available for selection of one manager in a company. Find the probability that female is selected.

3/8

Question. If from the well shuffled pack of cards all the aces are removed, find the probability of getting red card.

1/2

Question. If the probability of winning a game is 0.7, what is the probability of losing it?

0.3

Question. From the data (1, 4, 9 ,16, 25, 29) if 29 is removed. What is the probability of getting a prime number?

Zero

Question. In 1000 lottery tickets there are 5 prize winning tickets. Find the probability of winning a prize if a person buys one ticket.

1/200

Question. A card is drawn from an ordinary pack of playing cards and a person bets that it is a spade or an ace. What are the odds against his winning the bet?

9/13

Question. What is the probability of getting a total of less than 12 in the throws of two dice?

35/36

Question. How many face cards are there in a well shuffled pack of cards?