Question

The probability of an impossible event is-

• A. More than Zero
• B. Always Zero
• C. Sometimes Zero
• D. Always One

Hint:

Remember: Impossible event = Probability 0, Certain event = Probability 1.

Answer 1

The Correct Option is B

Step 1: Concept of probability.
Probability is a measure of the likelihood of occurrence of an event.
It always lies between 0 and 1, where 0 means impossible and 1 means certain.
Step 2: Understanding an impossible event.
An impossible event is one which cannot occur under any circumstances.
For example: Getting a score of 7 on a standard die.
Since such an event cannot happen, its probability is defined as zero.
Step 3: Checking options.
- (1) More than zero: Wrong, since impossible means no chance at all.
- (2) Always zero: Correct, because by definition impossible = probability 0.
- (3) Sometimes zero: Wrong, because it is always zero, not sometimes.
- (4) Always one: Wrong, that means a certain event.
Step 4: Conclusion.
Hence, the probability of an impossible event is always zero.