1. What is the Elo Win Rate Formula?

The Elo rating system is a method for calculating the relative skill levels of players in competitor-versus-competitor games. The win probability formula predicts the likelihood of one player defeating another based on their Elo ratings.

2. How Does the Calculator Work?

The calculator uses the Elo win probability formula:

Where:

• \( elo \) — Your Elo rating
• \( opponent\_elo \) — Your opponent's Elo rating
• 400 — Rating difference that gives 10:1 expected score

Explanation: The formula shows that a player with 400 more rating points than their opponent is 10 times more likely to win than to lose.

3. Importance of Elo Rating System

Details: The Elo system is widely used in chess, video games, and other competitive games to match players of similar skill levels and predict match outcomes.

4. Using the Calculator

Tips: Enter both your Elo rating and your opponent's Elo rating. The calculator will show your expected win rate as a percentage.

5. Frequently Asked Questions (FAQ)

Q1: What does a 50% win rate mean?
A: A 50% win rate means both players have equal Elo ratings and are equally likely to win.

Q2: How accurate is the Elo prediction?
A: The prediction becomes more accurate over many games but may not predict single-game outcomes perfectly.

Q3: What's the significance of the 400 number?
A: A 400-point difference means the higher-rated player is expected to win 10 times more often than the lower-rated player.

Q4: Can this be used for team games?
A: Yes, but team Elo systems often use modified formulas to account for team dynamics.

Q5: How do rating changes work after a game?
A: The amount of points gained/lost depends on the actual result versus the expected result (win rate).