What’s the probability of an impossible event?

The probability of an impossible event is always zero (0).

Explanation:
In mathematics, especially in probability theory, an impossible event is an event that cannot happen under any circumstances. For example, if you roll a standard die, the chance of getting a number greater than 6 is impossible because the die only has numbers from 1 to 6.

Probability is calculated by the formula:

Probability (P)=Total number of outcomesNumber of favourable outcomes​

In the case of an impossible event, the number of favourable outcomes is zero. So:

P(impossible event)=total number of outcomes0​=0

This means there is 0% chance of the impossible event happening.

Key Point:

• Probability of any event always lies between 0 and 1.

• 0 means impossible event and 1 means certain event.