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Probability Calculator

Compute probabilities of events using basic probability rules and Bayes' theorem with detailed step-by-step solutions!

Probability Calculator
Compute Probability:

Try the following examples:

[Basic Probability Example] [Conditional Probability Example] [Bayes' Theorem Example]
Select Problem Type:
P(A):
P(B):
P(A ∩ B):
P(A|B):
P(B|A):

Embed Probability Calculator Widget

About Probability Calculator

Welcome to our Probability Calculator, a powerful tool designed to compute the probabilities of different events using basic probability rules and Bayes' theorem. This calculator is ideal for students, teachers, and anyone working with probability and statistics.

Features of the Probability Calculator

Understanding Basic Probability Concepts

Probability quantifies the likelihood of an event occurring and ranges from 0 (impossible) to 1 (certain).

Basic Probability

For any two events \( A \) and \( B \), the probability of \( A \cup B \) (either \( A \) or \( B \) occurring) is given by:

\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

If \( A \) and \( B \) are mutually exclusive (cannot occur simultaneously), then:

\[ P(A \cup B) = P(A) + P(B) \]

Conditional Probability

The probability of event \( A \) occurring given that event \( B \) has occurred is called the conditional probability of \( A \) given \( B \), denoted by \( P(A|B) \), and is calculated as:

\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \]

Bayes' Theorem

Bayes' theorem relates the conditional and marginal probabilities of events \( A \) and \( B \):

\[ P(A|B) = \frac{P(B|A) \times P(A)}{P(B)} \]

How to Use the Probability Calculator

Why Use Our Probability Calculator?

Calculating probabilities manually can be complex and time-consuming. Our calculator simplifies the process by providing:

Additional Resources

For more information on probability and its applications, check out the following resources:

Reference this content, page, or tool as:

"Probability Calculator" at https://MiniWebtool.com/probability-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Nov 25, 2024

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