CBSE Class 10 Mathematics Probability MCQs Set C

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

Answer: 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

Answer: 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

Answer: C

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

Answer: 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

Answer: 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

Answer: C

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

Answer: 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

Answer: B

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

Answer: A

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

Answer: 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.

Answer: 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.

Answer: 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

Answer: 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

Answer: C

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.

Answer: 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

Answer: A

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.

Answer: 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

Answer: D

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

Answer: 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

Answer: B

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

Answer: 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

Answer: B

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

Answer: B

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

Answer: D

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

Answer: 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

Answer: A

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

Answer: D

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

Answer: C

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

Answer: A

One Word Questions :

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.
Answer: 2/3

Question. What are all the possible outcomes when a coin is tossed twice?
Answer: HH, HT, TH, TT

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?
Answer: 15

Question. A pair of dice is thrown once. Find the probability of getting a sum of 11.
Answer: 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.
Answer: 3/8

Question. If from the well shuffled pack of cards all the aces are removed, find the probability of getting red card.
Answer: 1/2

Question. If the probability of winning a game is 0.7, what is the probability of losing it?
Answer: 0.3

Question. It is known that in a box of 600 screws, 42 screws are defective. One screw is taken out at random from this box. Find the probability that it is a good screw.
Answer: 93/100