Question

Probability of an impossible event is ____.

• A. 0
• B. 1
• C. -1
• D. \(\infty\)

Hint:

Probability can never be negative and can never exceed 1. If you ever calculate a probability like -0.5 or 1.2, you know immediately that there is an error in the calculation!

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Probability is a numerical scale ranging from 0 to 1 that measures the likelihood of an occurrence. An event that has absolutely no chance of happening is categorized as an impossible event.

Step 2: Detailed Explanation:
In probability theory, the probability of any event \( E \), denoted as \( P(E) \), must satisfy the condition \( 0 \le P(E) \le 1 \).
• A Certain Event has a probability of 1 (100% chance).
• An Impossible Event has a probability of 0 (0% chance). For example, the probability of rolling a 7 on a standard six-sided die is 0 because the outcome is not part of the sample space.

Step 3: Final Answer:
The probability of an impossible event is 0.