Pythagorean Expectation Calculator

Created By : Vaibhavi Kumari

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 06, 2025

This tool is very easy to calculate the winning percentage of the sports team. Make use of this pythagoream calculator, Input the number of runs scored (RS) and the number of runs allowed (RA) into the Pythagorean Expectation calculator to get the result.

Pythagorean Expectation Calculator: The Pythagorean winning percentage can be used to identify teams that have outperformed their expectations. Using this calculator, you can predict the winning percentage of the sports teams easily. Get the simple steps to use Pythagorean Winning Percentage Calculator, its formula and solved example. Also, know the definition of pythagoream expectation.

What is the Pythagorean Expectation?

The Pythagorean Expectation is a method that estimates how many games a baseball team should have won depending on the number of runs scored and allowed. The actual and Pythagorean winning percentages of a team can be used to determine how fortunate that squad was (by examining the variation between the two winning percentages).

Pythagorean Expectation Formula

The formula for Pythagorean Expectation is:

Win=1/(1+(RA/RS)2)

Where,

RA is the number of runs allowed

RS is the number of runs scored

Bill James, a prominent statistician developed the Pythagorean winning percentage algorithm. The idea is to figure out how many games a club should have won based on their total number of runs scored and their total number of runs allowed, in order to better predict their future prospects.

Steps to Calculate Winning Percentage of a Team

Follow these steps to predict the winning percentage of a sports team easily.

  • Get the number of runs scored, number of runs allowed.
  • Substitite the values in the Pythagorean Expectation formula.
  • Solve the problem to get the winning percentage value.

You can with the following examples for a better understanding of Pythagorean expectation and also get more topics by clicking this site called onlinecalculator.guide

Example of Pythagorean Expectation

If the scored runs are 12 and the allowed number of runs is 15 then what about the Pythagorean expectation?

Solution:

Given that,

The number of runs scored(RS) is 12

The number of runs allowed(RA) is 15

Win=1/(1+(RA/RS)2)

Win=1/(1+(15/12)2)

Win = 0.3902439024

Therefore, the winning percentage of Pythagorean expectation is 0.3902439024

FAQs on Free Online Pythagorean Expectation Calculator

1. What does a Pythagorean winning percentage in the NBA?

Pythagorean Winning Percentage is a method that calculates the team expected winning percentage by comparing the number of points scored and allowed.

2. What is the equation used to calculate the Pythagorean Expectation?

The Pythagorean Expectation equation is Win=1/(1+(RA/RS)2)

3.What is the Pythagorean Win Expectancy model and who invented this model?

The Pythagorean win expectancy model was invented by Bill James. It is a method that converting the total runs against a baseball team to estimate the team seasonal win percentage

4. What does mean by Pythagorean in basketball?

In basketball, you can use the pythagorean winning percentage method to get an expected winning percentage by using the ratio of a team wins and losses are related to the number of points scored and allowed.