NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1Question 17
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question. 17
If \(P(A)\) denotes the probability of an event A, then
(A)
\(P(A)<0\)
(B)
\(P(A)>1\)
(C)
\(0\le P(A)\le 1\)
(D)
\(-1\le P(A)\le 1\)
Detailed Answer with Explanation:
Step 1: Probability is a number that tells us how likely an event is to happen.
Step 2: The smallest value of probability is 0. This means the event is impossible (cannot happen at all).
Step 3: The largest value of probability is 1. This means the event is certain (will definitely happen).
Step 4: For all real situations, the probability of any event lies between 0 and 1. So, it cannot be negative (less than 0), and it cannot be greater than 1.
Step 5: Therefore, the correct condition is: \(0 \leq P(A) \leq 1\).
Final Answer: Option (C).