# What is an exhaustive event?

## What is an exhaustive event?

What is the meaning of exhaustive events? A set of events are called exhaustive events if at least one of them necessarily occurs whenever the experiment is performed. Also, the union of all these events constitutes the sample space of that experiment.

**What are exhaustive events give an example?**

In probability theory and logic, a set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six-sided die, the events 1, 2, 3, 4, 5, and 6 balls of a single outcome are collectively exhaustive, because they encompass the entire range of possible outcomes.

**What are non exhaustive events?**

A collection of events is non-exhaustive if it is possible for none of them to occur. Events are mutually exclusive if no two of them can occur simultaneously.

### How do I find an exhaustive event?

Let A = {a, e, i, o, u}, B = {b, c, d}, C = {f, g, h, j}. Check if A, B, C are exhaustive events and determine their type. Therefore, whenever the experiment is performed one of the events A, B, C will occur. Hence, A, B, C are exhaustive events.

**How do you know if events are exhaustive?**

In probability, a set of events is collectively exhaustive if they cover all of the probability space: i.e., the probability of any one of them happening is 100%. If a set of statements is collectively exhaustive we know at least one of them is true.

**What is the difference between exclusive and exhaustive events?**

What does mutually exclusive and exhaustive mean? When two events are mutually exclusive, it means they cannot both occur at the same time. But it doesn’t necessarily imply that one of the two events has to happen. When two events are exhaustive, it means that one of them must occur.

#### Are all exhaustive events mutually exclusive?

No, all exhaustive events are not mutually exclusive.

**What is exhaustive probability?**

**What is the difference between exhaustive events and sample space?**

Sample space: The set of all possible outcomes of an experiment is called sample space. Exhaustive events: Exhaustive events refer to the total number of possible outcomes of a random experiment.