CBSE Class 10 Mathematics Probability MCQs Set 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. 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

Answer: 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

Answer: B

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

Answer: 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

Answer: 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

Answer: 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

Answer: 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

Answer: D

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

Answer: 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

Answer: 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.

Answer: 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

Answer: 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

Answer: B

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

Answer: 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

Answer: 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

Answer: 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

Answer: 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

Answer: 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

Answer: 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

Answer: D

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

Answer: 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

Answer: 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

Answer: C

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

Answer: 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

Answer: B

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

Answer: 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

Answer: C

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

Answer: 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

Answer: 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}

Answer: C

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?
Answer: 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.
Answer: 2/5

Question. If E be an event such that P(E) = 7/3 , what is P (not E) equal to?
Answer: 4/7

Question. In 1000 lottery tickets there are 5 prize winning tickets. Find the probability of winning a prize if a person buys one ticket.
Answer: 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?
Answer: 9/13

Question. What is the probability of getting a total of less than 12 in the throws of two dice?
Answer: 35/36

Question. How many face cards are there in a well shuffled pack of cards?
Answer: 12

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