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