Practice Questions on Exhaustive Events
Question 1: You flip a fair coin. Define two events:
- Event A: Getting heads (H)
- Event B: Getting tails (T)
Are these events collectively exhaustive? What is the probability of getting either heads or tails?
Question 2: You roll a fair six-sided die. Define six events, one for each possible outcome (numbers 1 through 6). Are these events collectively exhaustive? What is the probability of rolling any number from 1 to 6?
Question 3: You draw a card from a standard deck of 52 playing cards. Define four events:
- Event A: Drawing a heart
- Event B: Drawing a diamond
- Event C: Drawing a club
- Event D: Drawing a spade
Are these events collectively exhaustive? What is the probability of drawing a card of any suit?
Question 4: You flip two fair coins. Define three events:
- Event A: Getting two heads (HH)
- Event B: Getting two tails (TT)
- Event C: Getting one head and one tail (HT or TH)
Are these events collectively exhaustive? What is the probability of getting either two heads, two tails, or one head and one tail?
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