Question

Identify the correct statement -

• A. P(E)=-1
• B. P(E)≥1
• C. 0≤P(E)≤1
• D. None

Answer 1

The Correct Option is C

To solve the problem, we need to identify the correct statement about the probability of an event \( P(E) \).

1. Understanding the Range of Probability:
The probability of any event always lies between 0 and 1, inclusive. That is:

\[ 0 \leq P(E) \leq 1 \]

2. Evaluating the Given Options:
(1) \( P(E) = -1 \) → Incorrect (Probability can't be negative)
(2) \( P(E) \geq 1 \) → Incorrect (Probability can't be greater than 1)
(3) \( 0 \leq P(E) \leq 1 \) → Correct (This is the definition of probability)
(4) None → Incorrect (Option 3 is correct)

Final Answer:
The correct statement is \( 0 \leq P(E) \leq 1 \).