Please refer to the **MCQ Questions for Class 10 Maths Probability **with Answers. The following Probability Class 10 Maths MCQ Questions have been designed based on the current academic year syllabus and examination guidelines for Class 10. Our faculty has designed MCQ Questions for Class 10 Maths with Answers for all chapters as per your NCERT Class 10 Mathematics book.

**Probability Class 10 MCQ Questions with Answers**

Please see below Probability Class 10 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

**Question. When two dice are thrown, what is the probability of always getting a number greater than 4 on the second dice?**

(a) 1/6

(b) 1/3

(c) 1/36

(d) 1/2

## **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.** Three of the six vertices of a regular hexagon are chosen at random. What is the probability that the triangle with these vertices is equilateral?

(a) 1/5

(b) 2/5

(c) 1/10

(d) 3/10

## **Answer**

C

**Question.** Three letters, to each of which corresponds an addressed envelope are placed in the envelopes at random. What is the probability that all letters are placed in the right envelopes?

(a) 1/3

(b) 1

(c) 1/6

(d) 0

## **Answer**

C

**Question.** A weather forecast center predicts that it will rain for 3 days in a duration of 20 days. Find the probability of rain on a particular day.

(a) 17/20

(b) 3/17

(c) 20/17

(d) 3/20

## **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

**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

## **Answer**

B

**Question.** Two numbers are chosen from 1 to 5. What is the probability for the two numbers to be consecutive?

(a) 1/5

(b) 2/5

(c) 1/10

(d) 2/10

## **Answer**

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

## **Answer**

B

**Question.** A box contains 7 red, 3 white and 2 black balls, when a ball is picked at random from the box what is the probability that it is not red?

(a) 1/12

(b) 11/12

(c) 7/12

(d) 5/12

## **Answer**

D

**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.** If a coin is tossed twice, find the probability of getting at least one head.

(a) 1/2

(b) 1/4

(c) 3/4

(d) 1/8

## **Answer**

A

**Question.** From a normal pack of cards, a card is drawn at random. Find the probability of getting a jack or a king.

(a) 2/52

(b) 1/52

(c) 2/13

(d) 1/26

## **Answer**

C

**Question.** A bag contains 3 white and 5 red balls. If a ball is drawn at random, what is the probability that it is red?

(a) 3/8

(b) 5/8

(c) 3/15

(d) 5/15

## **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. The probability that A can win a race is 3/8 and the probability that B can win it is 1/6 . If both run in a race, what is the probability that one of them will win the race, assuming that both cannot win together? **

(a) 17/24

(b) 15/24

(c) 13/24

(d) 11/24

**Answer**

C

**Question. A lottery has a 0.00002 probability of winning first prize. How many tickets have been sold for the lottery? **

(a) 2000

(b) 50000

(c) 2000

(d) 100000

**Answer**

B

**Question. If the odds in favour of winning a race by three horses are respectively 1 : 4, 1 : 5 and 1 :6, find the probability that one of these horses will win. **

(a) 37/60

(b) 39/60

(c) 41/60

(d) 51/60

**Answer**

A

**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. A certain class has 45 students. If a student is picked at random, the probability of picking a prefect is 1/3. How many students in the class are not prefects? **

(a) 60

(b) 15

(c) 30

(d) 70

**Answer**

C

**Question. If P(A∪B) = 0.65,P(A∩B) = 0.15, find P(A) + P(B) . **

(a) 1.5

(b) 1.4

(c) 1.3

(d) 1.2

**Answer**

D

**Question. A Suppose a die is dropped at random on the rectangular region as shown in the figure. **

**What is the probability that it will land inside the circle with diameter 2 m?**(a) π/8

(b) π/28

(c) 1 /12

(d) 1/18

**Answer**

B

**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 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.** Two dice are**rolled at once and the numbers shown are added up. What is the probability of getting a total of 14?**

(a) 1/2

(b) 1

(c) 0

(d) 2/3

## **Answer**

C

**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.** A book containing 100 pages is opened at random. What is the probability that a doublet page is found?

(a) 9/100

(b) 90/100

(c) 10/100

(d) 20/100

## **Answer**

A

**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.****What is the chance that a non-leap year contains 53 Saturdays?**

(a) 2/7

(b) 1/7

(c) 2/365

(d) 1/365

## **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. Two coins are tossed simultaneously. The probability of getting at most one head is **

(a) 1/ 4

(b) 1/ 2

(c) 3/ 4

(d) 1

**Answer**

C

**Question. Two numbers are chosen from 1 to 5. Find the probability for the two numbers to be consecutive. **

(a) 3/ 5

(b) 2/ 5

(c) 4/ 5

(d) 2/ 3

**Answer**

B

**Question. A bag contains card numbers 3, 4, 5, 6, 7….27. One card is drawn, then probability of prime number card is **

(a) 9/ 25

(b) 8 /27

(c) 8/ 25

(d) 1/ 5

**Answer**

C

**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/ 2

**Answer**

C

**Question. Two dice are rolled, then probability of getting a total of 9 is **

(a) 1/ 3

(b) 1/ 9

(c) 9/ 10

(d) 8/ 9

**Answer**

B

**Question. A bag contains 40 coins, consisting of ₹`2, ₹`5 and ₹`10 denominations. If a coin is drawn at random, the probability of drawing a ₹`2 coin is 5/ 8 . If x number of `2 coins are removed from the bag and then a coin is drawn at random, the probability of drawing a ₹`2 coin is 1/ 2 . Find the value of x. **

(a) 5

(b) 2

(c) 10

(d) 8

**Answer**

C

**Question. Which of the following statement(s) is/are not correct ? **

(a) An event which can never happen is called impossible event.

(b) An event which has more than one (favourable) outcomes is called a compound event.

(c) The collection of all possible outcomes of an experiment is called sample space.

(d) None of these

**Answer**

D

**Question. Two dice are thrown at a time, then find the probability that the difference of the numbers shown on the dice is 1. **

(a) 3/16

(b) 5/18

(c) 7/36

(d) 7/18

**Answer**

B

**Question. A fair die is thrown once. The probability of getting a composite number less than 5 is **

(a) 1/ 3

(b) 1/ 6

(c) 2/ 3

(d) 0

**Answer**

B

**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. If a letter is chosen at random from the letter of English alphabet, then the probability that it is a letter of the word ‘DELHI’ is **

(a) 1/ 5

(b) 1/ 26

(c) 5 /26

(d) 21/ 26

**Answer**

C

**Question. A box contains four cards numbered as 1, 2, 3 and 4 and another box contains four cards numbered as 1, 4, 9 and 16. One card is drawn at random from each box. What is the probability of getting the product of the two numbers so obtained , more than 16? **

(a) 5/ 8

(b) 1/ 2

(c) 3/ 8

(d) 1/ 4

**Answer**

C

**Question. The probability of raining on day 1 is 0.2 and on day 2 is 0.3. The probability of raining on both the days is **

(a) 0.2

(b) 0.1

(c) 0.06

(d) 0.25

**Answer**

C

**Question. If the probability of an event is 0, then it is called a **

(a) sure event

(b) certain event

(c) impossible event

(d) none of these

**Answer**

C

**Question. Which of the following cannot be the probability of an event? **

(a) 2/3

(b) – 1/5

(c) 15%

(d) 0.7

**Answer**

B

**Question. A die is thrown once then, **

(a) the probability of getting an odd number is 2/3

(b) the probability of getting multiple of 3 is 1/3

(c) the probability of getting a prime number is 2/3

(d) the probability of getting number greater than 5 is 1/3

**Answer**

B

**Question. The probability that a two digit number selected at random will be a multiple of ‘3’ and not a multiple of ‘5’ is **

(a) 2/ 15

(b) 4/ 15

(c) 1/ 15

(d) 4/ 90

**Answer**

B

**Question. One card is drawn from a well shuffled deck of 52 cards. ****I. The probability that the card will be diamond, is 1/2.II. The probability of an ace of heart is 1/52.III. The probability of not a heart is 3/4.IV. The probability of king or queen is 1/26.Which of the statement(s) is/are true?**

(a) I and II

(b) II and III

(c) III and IV

(d) None of these

**Answer**

B

**Question. For an event E, P (E) + P ^{−}(E) = q, then **

(a) 0 ≤ q < 1

(b) 0 < q ≤ 1

(c) 0 < q < 1

(d) None of these

**Answer**

D

**Fill in the Blanks :**

**Question. A die is thrown once, the probability of getting a prime number is ………….. **

**Answer**

**1/2**

**Question. The probability of an event that cannot happen is …………….. Such an event is called ……………… **

**Answer**

** 0, impossible event**

**Question. A set of events which have no pair in common are called …………. **

**Answer**

**mutually exclusive**

**Question. The sum of the probabilities of all the elementary events of an experiment is ……………. **

**Answer**

**1**

**Question. If P(E) = 0.05, the probability of ‘not E’ is ……….. **

**Answer**

**.95**

**True or False :**

**Question. An event A associated to a random experiment is said to occur if any one of the elementary events associated to the event A is an outcomes. **

**Answer**

** True**

**Question. For any event E, P (E) + P ^{−}( E ) = 1, where E stands for ‘not E’. E and E are called complementary events. **

**Answer**

**True**

**Question. An event associated to a random experiment is a compound event if it is obtained by combining two or more elementary events associated to the random experiment. **

**Answer**

**True**

**Question. If A is any event in a sample space, then P ^{−}(A) = 1+ P(A) **

**Answer**

** False**

**Question. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, the number of blue balls in the bag is 10. **

**Answer**

**True**

**Match the Following :****Question. Match the proposed probability under Column-I with the appropriate written description under column-ll :**

Column -I (Probability) | Column-II (Written Description) |

(A) 0.95 | (p) An incorrect assignment |

(B) 0.02 | (q) No chance of happening |

(C) –0.3 | (r) As much chance of happening as not |

(D) 0.5 | (s) Very likely to happen |

(E) 0 | (t) Very little chance of happening |

**Answer**

**(A) → (s); (B) → (t); (C) → (p); (D) → (r); (E) → (q**

**Question. Two unbiased coins are tossed simultaneously. Match Column-I with the probabilities given in Column-II. **

Column-I | Column-II |

(A) The probability of getting one head is | (p) 3 /4 |

(B) The probability of getting at least one head is | (q) 1 / 4 |

(C) The probability of getting two heads is | (r) 1/ 2 |

## **Answer**

** (A) → (r) ; (B) → (p) ; (C) → (q)**