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Betting Maths5 min read20 January 2024

What Decimal Odds Mean Mathematically — A Complete Guide

Understand decimal odds from a mathematical perspective. Learn how to calculate payouts, implied probability, and compare formats.

Understanding Decimal Odds

Decimal odds are the most common format used by Kenyan bookmakers like SportPesa and Betika. They represent the total return per unit staked, including your original stake.

The Basic Formula

Total Payout = Stake × Decimal Odds
Profit = Stake × (Decimal Odds − 1)

Examples

OddsKES 1,000 StakePayoutProfit |------|-----------------|--------|--------| 1.50KES 1,000KES 1,500KES 500 2.00KES 1,000KES 2,000KES 1,000 5.00KES 1,000KES 5,000KES 4,000 10.00KES 1,000KES 10,000KES 9,000

Implied Probability

Decimal odds encode the bookmaker's implied probability of an outcome:

Implied Probability = 1 ÷ Decimal Odds × 100%

For example, odds of 2.50 imply a 40% probability (1 ÷ 2.50 = 0.40 = 40%).

Favourites vs Underdogs

  • Odds < 2.00: The bookmaker considers this outcome more likely than not (implied probability > 50%) — these are favourites
  • Odds = 2.00: Evens — the bookmaker implies a 50% probability
  • Odds > 2.00: The bookmaker considers this outcome less likely than not — these are underdogs
  • Use our Odds Calculator to convert between decimal, fractional, and American formats instantly.

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    Responsible Gambling: Betting carries financial risk. If you or someone you know needs help, contact Befrienders Kenya: +254 722 178 177. This content is for educational purposes only. You must be 18+ to bet.

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