Probability

Conditional Probability Formula - Probability

Learn the conditional probability formula with examples, step-by-step guide, and calculator tools. Calculate probability of A given that B has occurred

The conditional probability formula is a fundamental concept in probability. Calculate probability of A given that B has occurred. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

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

Variables

P(A|B)
Probability of A given B
P(A ∩ B)
Probability of both A and B
P(B)
Probability of B

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [0.3,0.5] → P(A|B) = 0.3 / 0.5 = 0.6

Example 2

Example 2: 0.6

Frequently Asked Questions

What is the conditional probability formula?

Calculate probability of A given that B has occurred

How do I calculate conditional probability formula?

Use the formula: P(A|B) = \frac{P(A \cap B)}{P(B)}. Follow the steps provided above.

What tools can help with conditional probability formula?

We provide online calculators: statistics-calculator

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