Examples of Exhaustive Events
Examples of Exhaustive Events can be coin tossing, rolling a dice and drawing cards from a deck of cards. Explanation of each of them is given below:
Coin Tossing
- When tossing a fair coin, the possible outcomes are either heads (H) or tails (T).
- The events “getting heads” and “getting tails” are collectively exhaustive because one of these outcomes must occur.
- For example, if you toss a coin, you will either get heads or tails. There are no other possible outcomes.
Rolling a Dice
- When rolling a fair six-sided die, the possible outcomes are numbers 1 through 6.
- The events “rolling a 1,” “rolling a 2,” and so on up to “rolling a 6” are collectively exhaustive because one of these outcomes must occur.
- For instance, if you roll a die, you will get a number between 1 and 6. There are no other possible outcomes besides these six numbers.
Drawing Cards from a Deck
- When drawing cards from a standard deck of 52 playing cards, the possible outcomes include the various ranks (2 through 10, Jack, Queen, King, Ace) and suits (hearts, diamonds, clubs, spades).
- The events “drawing a heart,” “drawing a diamond,” “drawing a club,” and “drawing a spade” are collectively exhaustive because one of these outcomes must occur.
- Additionally, the events “drawing a 2,” “drawing a 3,” and so on up to “drawing an Ace” for each suit are also collectively exhaustive.
- For example, if you draw a card from a deck, it will be either a heart, diamond, club, or spade, and it will also be one of the ranks from 2 to Ace. There are no other possible outcomes besides these.
Exhaustive Events
Exhaustive Events are a set of events where at least one of the events must occur while performing an experiment. Exhaustive events are a set of events whose union makes up the complete sample space of the experiment.
In this article, we will understand the meaning of exhaustive events, its definition, Venn diagram of exhaustive events, collective exhaustive events, and examples of exhaustive events.
Table of Content
- What are Exhaustive Events?
- Exhaustive Event Venn Diagram
- Collectively Exhaustive Events
- Examples of Exhaustive Events
- Calculation of Probability for Exhaustive Events