Assertion and Reason Questions for Class 10 Maths Chapter 14 Probability PDF

Assertion and Reason Questions for Class 10 Maths Chapter 14 Probability are available in this Maths article. Assertion and Reason Questions for Class 10 Maths Chapter 14 Probability are very useful to solve the problems easily. This article helps the students to know the key questions and answers about Probability. Probability covers sure events, impossible events, complementary events, and outcomes of dice, coins, and cards, which are important in exam practice. Our subject experts have provided detailed solutions for these problems based on the CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination. A free downloadable PDF is also available for easy practice and revision.

Important Assertion and Reason Questions on Probability

Directions: In the following questions a statement of assertion (A) is followed by a statement of reason(R). Mark the correct choice as:

Choose the correct option for the following questions:

• (A). Both Assertion (A) and Reason (R) are true, and Reason is the correct explanation of Assertion.

• (B). Both Assertion (A) and Reason (R) are true, but Reason is not the correct explanation of Assertion.

• (C). Assertion (A) is true, but Reason (R) is false.

• (D). Assertion (A) is false, but Reason (R) is true.

Question 1:

Assertion (A): The probability of an event is always between 0 and 1.

Reason (R): Probability measures the chance of occurrence of an event.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 2:

Assertion (A): The probability of getting a head when a coin is tossed is:P(E)=12

Reason (R): A coin has two equally likely outcomes.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 3:

Assertion (A): The sum of probabilities of all possible outcomes of an experiment is 1.

Reason (R): One of the outcomes must occur in a random experiment.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 4:

Assertion (A): The probability of an impossible event is 0.

Reason (R): An impossible event cannot occur.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 5:

Assertion (A): The probability of a sure event is 1.

Reason (R): A sure event always occurs.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 6:

Assertion (A): The probability of getting an even number on a die is:P(E)=36=12

Reason (R): The even numbers on a die are 2, 4, and 6.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 7:

Assertion (A): Experimental probability may differ from theoretical probability.

Reason (R): Experimental probability depends on actual observations.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 8:

Assertion (A): The probability of getting a number greater than 6 on a standard die is 0.

Reason (R): A standard die has outcomes from 1 to 6 only.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 9:

Assertion (A): The probability of selecting a vowel from the word “MATHS” is 0.

Reason (R): The word “MATHS” contains no vowels.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (D). A is false, but R is true.

“MATHS” contains the vowel A.

Question 10:

Assertion (A): If the probability of an event is 0.7, then the probability of the event not occurring is 0.3.

Reason (R): The sum of probabilities of complementary events is 1.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 11:

Assertion (A): The probability of drawing a red card from a deck of cards is:P(E)=2652=12

Reason (R): A deck of cards contains 26 red cards.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 12:

Assertion (A): The probability of getting a prime number on a die is:P(E)=2652=12

Reason (R): The prime numbers on a die are 2, 3, and 5.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 13:

Assertion (A): Experimental probability approaches theoretical probability as the number of trials increases.

Reason (R): Larger observations generally produce more reliable results.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 14:

Assertion (A): The probability of getting an odd number on a die is equal to the probability of getting an even number.

Reason (R): A die has three odd and three even numbers.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Question 15:

Assertion (A): The probability of selecting a consonant from the word “BOOK” is:P(E)=24=12

Reason (R): The consonants in “BOOK” are B and K.

Options:

(A). Both A and R are true, and R is the correct explanation of A.
(B). Both A and R are true, but R is not the correct explanation of A.
(C). A is true, but R is false.
(D). A is false, but R is true.

Correct Answer: (A). Both A and R are true, and R is the correct explanation of A.

Download PDF - Assertion and Reason Questions for Class 10 Maths Chapter 14 Probability

Related Topics:

• Chapter 1: Real Numbers
• Chapter 2: Polynomials
• Chapter 3: Pair of Linear Equations in Two Variables
• Chapter 4: Quadratic Equations
• Chapter 5: Arithmetic Progression 
• Chapter 6: Triangles
• Chapter 7: Coordinate Geometry
• Chapter 8: Trigonometry
• Chapter 9: Applications of Trigonometry
• Chapter 10: Circles
• Chapter 11: Areas Related to Circles
• Chapter 12: Surface Areas and Volumes
• Chapter 13: Statistics