Plus Minus Odds Calculator

Enter any positive or negative American odds line. Review payout, probability, market margin, and value. Save clear results for records, reviews, or reports instantly.

Calculator

Use values like +150 or -200.
Optional. Used for hold and no-vig estimates.
Optional. Used for edge and Kelly staking.

Formula Used

For positive American odds:

Decimal Odds = 1 + (American Odds / 100)

Implied Probability = 100 / (American Odds + 100)

Profit = Stake × (American Odds / 100)

For negative American odds:

Decimal Odds = 1 + (100 / Absolute American Odds)

Implied Probability = Absolute American Odds / (Absolute American Odds + 100)

Profit = Stake × (100 / Absolute American Odds)

Market hold:

Overround = Main Implied Probability + Opponent Implied Probability

Hold = Overround - 1

No-vig probability:

No-vig Probability = Side Implied Probability / Overround

Kelly fraction:

Kelly = ((Net Decimal Odds × True Probability) - Losing Probability) / Net Decimal Odds

How to Use This Calculator

  1. Enter the main American odds line.
  2. Enter the stake you plan to test.
  3. Add the opponent line when comparing a two-way market.
  4. Add your true probability to estimate value.
  5. Add bankroll when you want Kelly stake guidance.
  6. Press Calculate to show results below the header.
  7. Use the CSV or PDF button to save the result.

Example Data Table

American Odds Stake Decimal Odds Implied Probability Profit Total Return
+150 100 2.50 40.00% 150.00 250.00
-200 100 1.50 66.67% 50.00 150.00
+120 75 2.20 45.45% 90.00 165.00
-135 80 1.74 57.45% 59.26 139.26

Understanding Plus Minus Odds

Plus minus odds are American odds. They show risk and reward in one compact line. A positive line shows profit on a 100 stake. A negative line shows the stake needed to win 100. This calculator turns that line into easier planning numbers.

Why the Calculator Helps

Manual odds math can become messy fast. You may need profit, total return, break-even probability, and market margin at once. This tool handles those steps in one form. It also compares two sides of a market. That helps you see the hold included by the bookmaker.

Advanced Inputs

The stake field shows the money placed on one selection. The optional opponent line creates a two-way market view. The true probability field lets you test your own estimate. The bankroll field supports Kelly based staking. These options help casual checks and deeper reviews.

Reading the Result

Implied probability is the chance suggested by the odds. It is not a prediction. It includes margin when the line comes from a priced market. Decimal odds show total return per unit staked. Fractional odds show profit compared with stake. Profit excludes your original stake. Total return includes it.

Using Market Hold

When both sides are entered, their implied probabilities are added. A total above 100 percent is the overround. The excess is often called hold, juice, or margin. The no-vig result removes that margin proportionally. It gives a fair probability estimate for each side.

Value and Kelly

If you enter a true probability, the page estimates expected edge. Positive edge means your estimate is higher than the break-even point. The Kelly figure suggests an aggressive stake fraction. Many users prefer half Kelly for lower swings. Treat Kelly output as a guide, not a guarantee.

Best Practice

Use consistent units for stake and bankroll. Review every entered line before exporting results. Compare several prices before choosing a line. Small odds changes can move the break-even point. Keep records with the CSV or PDF button. Use the calculator for education, planning, and comparison. Do not treat any output as certain. Odds can move quickly. Your own assumptions matter. Keep risk limits simple, steady, and firm too. Use clear inputs, then review every result before acting.

FAQs

What are plus minus odds?

Plus minus odds are American odds. Positive odds show profit on a 100 stake. Negative odds show how much must be staked to win 100.

What does implied probability mean?

Implied probability converts odds into a break-even chance. It shows the percentage needed to justify the line before considering your own opinion.

How is profit calculated for positive odds?

For positive odds, profit equals stake multiplied by odds divided by 100. A 100 stake at +150 returns 150 profit.

How is profit calculated for negative odds?

For negative odds, profit equals stake multiplied by 100 divided by the absolute odds. A 100 stake at -200 earns 50 profit.

What is market hold?

Market hold is the excess above 100 percent when both sides are converted into implied probabilities. It estimates the built-in margin.

What does no-vig probability show?

No-vig probability removes estimated margin from both sides. It gives a cleaner fair probability view when two opposing lines are entered.

What is Kelly staking?

Kelly staking estimates a stake fraction using edge and odds. It can be aggressive, so many people use half Kelly instead.

Can I export the calculation?

Yes. Use the CSV button for spreadsheet records. Use the PDF button when you need a simple printable result summary.

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