Counting Rule Calculator

Formula

The formula to calculate the Total Number of Outcomes (CR) is:

\[ CR = m \cdot n \]

Where:

\(CR\) is the total number of outcomes or possibilities
\(m\) is the number of ways to do one thing
\(n\) is the number of ways to do another thing

Counting Rule Definition

A Counting Rule, in probability and statistics, is a guideline or formula that helps to determine the number of outcomes or possibilities in an event or experiment. It is used in combinatorics to calculate combinations and permutations, which are essential in probability theory. The basic counting rule, also known as the multiplication principle, states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are \(m \cdot n\) ways to do both.

Example Calculation

Let's assume the following values:

Number of Ways to Do One Thing (m) = 5
Number of Ways to Do Another Thing (n) = 3

Using the formula to calculate the Total Number of Outcomes (CR):

\[ CR = 5 \cdot 3 = 15 \]

The Total Number of Outcomes (CR) is 15.