Types of Event in Probability
The various types of events in probability are:
- Simple Event
A simple event is when an outcome has just one possibility. For instance, in coin flipping, getting heads is a simple event, and getting tails is another. The probability of a simple event is determined by the formula:
P(Simple Event) = 1 / Total Possible Outcomes
- Compound Event
A compound event involves two or more simple events. For example, flipping a coin twice and getting heads both times is a compound event. The probability of a compound event is found by multiplying the probabilities of its independent simple events.
P(Compound Event) = P(Event 1) × P(Event 2)
- Independent Event
Independent events are those where the outcome of one event doesn’t affect the outcome of another. Flipping a fair coin is an example; each flip has an equal chance of heads or tails.
- Dependent Event
Dependent events are influenced by the outcome of another event. For instance, drawing marbles from a bag without replacement changes the probability for subsequent draws.
- Complementary Event
The complement of an event (denoted as A’) includes all outcomes not in event A. If the probability of rolling an even number on a fair six-sided die is event A, then the probability of not rolling an even number (rolling an odd number) is the complement, and it’s calculated as:
P(Not A) = 1−P(A)
- Probability Distribution
A probability distribution describes how the probabilities of different outcomes are spread across the possible values of a random variable. It provides a comprehensive view of the likelihood of each possible outcome, helping to understand the uncertainty associated with random events. There are two main types of probability distributions:
- Probability Functions
Probability functions provide mathematical representations of the probabilities associated with different values of a random variable. Two common types are Probability Mass Functions (PMFs) for discrete variables and Probability Density Functions (PDFs) for continuous variables.
Probability and Statistics
Probability and Statistics are helpful guides when it comes to studying numbers. Probability helps us figure out how likely things are to happen, like guessing if it will rain. On the other hand, Statistics is about collecting and understanding data, like looking at numbers to learn useful things. Together, they help us make smart decisions and see patterns in the information around us.
This article covers various concepts of probability and statistics. In probability, we will learn definitions, formulas, types of events, Rules of probability, and more topics related to probability.
Table of Content
- What is Probability And Statistics?
- Probability Definition
- Statistics Definition
- Terms Related to Probability and Statistics
- Probability and Statistics Formulas
- Probability Formulas
- Statistics Formulas
- Topics under Probability and Statistics
- Rules of Probability
- Types of Event in Probability
- Statistics Topics
- Probability and Statistics for Engineering Mathematics
- Probability in Engineering
- Statistics in Engineering
- Probability and Statistics – Solved Examples
- Practice Problems on Probability and Statistics
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