NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question 12

Question.  12

If an event cannot occur, its probability is

(A)

1

(B)

\(\dfrac{3}{4}\)

(C)

\(\dfrac{1}{2}\)

(D)

0

Detailed Answer with Explanation:

Step 1: Probability means the chance of an event happening. It is always a number between 0 and 1.

Step 2: If the probability is 1, it means the event is certain to happen.

Step 3: If the probability is 0, it means the event is impossible — it can never happen.

Step 4: The question says “an event cannot occur.” That is exactly the meaning of an impossible event.

Final Answer: The probability of an impossible event is 0. Hence, the correct option is (D).

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.1 | Detailed Answers