Growl Games — Licensed Crypto Casino

Sports Betting Returns Explained: How to Calculate Winnings

A practical guide to reading odds, running the math, and knowing exactly what your stake returns before you place the bet.

Category: Guides · By Daniel Cole · Fri Jun 26 2026

Sports Betting Returns Explained: How to Calculate Winnings
10 min read

Sports Betting Returns Explained: How to Calculate Winnings

A practical guide to reading odds, running the math, and knowing exactly what your stake returns before you place the bet.

Walk into any online betting market without knowing how returns are calculated and you are, quite literally, gambling blind. The number printed next to a team or a horse is not a payout — it is a coded instruction that tells you what your stake earns, what the bookmaker thinks the probability is, and where the margin sits. Once you can decode it in three formats and connect it to expected value, you stop guessing and start making structured decisions on every wager.

This guide walks through every calculation an online betting customer needs: decimal, fractional, and American odds; implied probability and overround; parlays; expected value; and how stake sizing ties it all together. The math is not difficult. The discipline of using it on every bet is what separates serious bettors from drift. Whether you place a single weekly wager or treat online gambling as a measured pursuit, the principles below apply.

The Three Odds Formats You Need to Know

Sportsbooks display the same probability in three different ways depending on the region. A modern real money online casino and sportsbook will usually let you switch between all three in account settings, but you need to be able to read each on sight, because the share of the market that uses each format is roughly even worldwide.

FormatPrimary RegionExampleReads As
DecimalUK, Europe, Australia, Asia2.50Total return per 1 unit staked
FractionalUK, Ireland (traditional)3/2Profit per stake portion
AmericanUnited States, Canada+150 / −200Profit per $100 (or stake to win $100)

The first thing to internalise: 2.50 decimal, 3/2 fractional, and +150 American all mean exactly the same thing. They describe identical wagers with identical payouts. The format is presentational; the math underneath is constant. Below, each is calculated with the same £100 stake so you can see the equivalence.

Calculating Returns from Decimal Odds

Decimal odds are the cleanest format and the reason most international books default to them. The number you see is your total return multiplier — stake included.

The Formula

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

Example: a £100 bet at 2.50:

  • Total return = £100 × 2.50 = £250
  • Profit = £100 × (2.50 − 1) = £150
  • Your original £100 stake is included in the £250 total

One quick rule keeps you grounded: any decimal odds above 2.00 means you win more than you stake; odds below 2.00 means you win less than you stake. At exactly 2.00 (evens), profit equals stake. That tells you instantly whether a price is a favourite or an underdog without needing to compute anything further.

Calculating Returns from Fractional Odds

Fractional odds are still standard in UK high-street bookmakers and horse racing. The format is profit-to-stake, expressed as a ratio.

The Formula

Profit = Stake × (Numerator ÷ Denominator)
Total Return = Stake + Profit

Example: a £100 bet at 3/2 (read: "three to two"):

  • Profit = £100 × (3 ÷ 2) = £150
  • Total return = £100 + £150 = £250
  • Same outcome as 2.50 decimal — different presentation

Conversion is straightforward. To convert fractional to decimal: divide the numerator by the denominator, then add 1. So 7/2 becomes 3.50 + 1 = 4.50; 1/4 becomes 0.25 + 1 = 1.25. The "1" you add represents your returned stake. Odds-on shots (e.g. 1/4) sit below evens; odds-against shots (e.g. 7/2) sit above.

Calculating Returns from American Odds

American odds are the trickiest of the three because they use two different formulas depending on whether the number is positive or negative. Positive numbers describe underdogs; negative numbers describe favourites.

The Formulas

Positive odds (+150): Profit = Stake × (Odds ÷ 100)
Negative odds (−200): Profit = Stake × (100 ÷ |Odds|)

Example: $100 stake at +150:

  • Profit = $100 × (150 ÷ 100) = $150
  • Total return = $250

Example: $100 stake at −200:

  • Profit = $100 × (100 ÷ 200) = $50
  • Total return = $150

The intuition: a positive number tells you how much profit a $100 stake returns; a negative number tells you how much you must stake to profit $100. +150 and 2.50 decimal are mathematically identical; −200 equates to 1.50 decimal. If American odds feel awkward, most US-facing books let you toggle to decimal in account preferences.

Implied Probability and the Bookmaker's Margin

Every odds line implies a probability. Calculating it is the single most useful skill in online betting because it tells you whether the price represents value relative to your own estimate.

Implied Probability Formula

Implied Probability = (1 ÷ Decimal Odds) × 100

Examples:

  • Decimal 2.00 → 1 ÷ 2.00 = 50.00%
  • Decimal 2.50 → 1 ÷ 2.50 = 40.00%
  • Decimal 1.50 → 1 ÷ 1.50 = 66.67%
  • Decimal 5.00 → 1 ÷ 5.00 = 20.00%

Now apply this to a two-way market. In a tennis match priced 1.91 / 1.91, both sides imply 52.36% — which sums to 104.72%. That extra 4.72% is the bookmaker's overround, also called the vig, juice, or margin. It is the structural edge the operator builds into every market. Sharper books run margins as low as 2–3% on major events; recreational books often sit at 6–8% or higher.

Two-Way Market PriceImplied % (each side)Total %Margin
2.00 / 2.0050.00%100.00%0.00% (no juice)
1.95 / 1.9551.28%102.56%2.56%
1.91 / 1.9152.36%104.72%4.72%
1.83 / 1.8354.64%109.29%9.29%

Lower margin means more of your money goes back into your winnings over time. The difference between a 2.5% book and a 9% book on a high-volume bettor over a year is enormous. This is also why play online games to earn money only works long-term when the underlying math is on your side — recreational markets with fat overrounds bleed even disciplined bettors slowly.

Parlays, Accumulators, and Compounding Math

A parlay (called an accumulator in the UK) combines multiple selections into one wager. All legs must win for the bet to pay. The math is multiplicative, which creates the impression of huge potential returns — and obscures how brutal the compounded risk is.

Parlay Formula

Total Odds = Leg 1 × Leg 2 × Leg 3 × ...
Total Return = Stake × Total Odds

Example: a £10 four-leg parlay at decimal odds 1.80, 2.10, 1.95, and 1.65:

  • Combined odds = 1.80 × 2.10 × 1.95 × 1.65 = 12.16
  • Total return = £10 × 12.16 = £121.62
  • Profit = £111.62

True implied probability = 1 ÷ 12.16 = 8.22%. You have roughly a 1-in-12 shot to win.

Here is the trap. Each individual leg above implies probabilities of 55.6%, 47.6%, 51.3%, and 60.6%. They look winnable. Multiply them together, though, and your real chance of cashing the ticket is under 10%. Worse, the bookmaker's margin compounds with every leg added. A 5% margin per leg becomes roughly 27% across a six-leg parlay — which is why parlays are the single most profitable product line for any sportsbook.

This does not mean parlays are bad bets, but it does mean they should be a small, deliberate part of a betting strategy, not the default. Use them when you genuinely believe each leg has positive value on its own, not as a lottery ticket.

Expected Value: The Number That Actually Matters

Returns calculation tells you what you win if a bet hits. Expected value tells you whether the bet is worth placing in the first place. It is the foundation of every long-term winning bettor's approach.

Expected Value Formula

EV = (Win Probability × Profit) − (Loss Probability × Stake)

Example: You estimate a team has a 55% true chance of winning. The book is offering decimal odds of 2.00 (implied 50%). You stake £100:

  • If you win: profit = £100
  • If you lose: loss = £100
  • EV = (0.55 × £100) − (0.45 × £100) = £55 − £45 = +£10

Per bet, you expect to earn £10 on average if your probability estimate is correct.

Positive EV is the only durable edge in betting. You will not see it on a single wager — variance hides it for hundreds of bets at a time — but over a long enough sample, +EV bettors profit and −EV bettors lose. The hard part is honestly estimating true probability. Most bettors overrate the teams they like and underrate the ones they don't. Track your bets in a spreadsheet, compare your estimates to outcomes, and recalibrate every few months.

Putting It Together: Bankroll and Stake Sizing

Knowing how to calculate returns is the first half of competent betting. The second half is sizing your stakes so that variance does not wipe you out before your edge can play out. This is where most casual bettors quietly lose money even when their picks are roughly correct.

Do

  • Set a defined bankroll separate from rent, savings, and bills
  • Bet a fixed unit size — typically 1% to 3% of bankroll per wager
  • Track every bet with odds, stake, result, and your probability estimate
  • Shop lines across multiple books to find the lowest margin
  • Treat parlays as a small share of total volume, not the main event

Don't

  • Chase losses by doubling stake after a losing run
  • Bet more than 5% of your bankroll on a single wager, ever
  • Trust gut feel on probability without writing your estimate down
  • Confuse a winning streak with skill — sample sizes deceive
  • Use credit, loans, or borrowed money to fund a betting account

A practical rule of thumb: with a £1,000 bankroll at 2% units, your standard stake is £20. Even a brutal cold run of 20 losing bets only costs £400 — painful, but recoverable. Compare that to a bettor staking £100 a wager off the same bankroll: ten losses and they are wiped out. The math of real money online casino and sportsbook play favours small, disciplined units almost without exception.

Why Growl Games

If you want to apply this math in live conditions, Growl Games displays odds in decimal, fractional, and American formats with a one-click toggle, runs competitive margins on major football, cricket, and tennis markets, and supports crypto withdrawals so your bankroll moves at the speed of your decisions. The sportsbook sits alongside a full online casino with 12,000+ games for when you want to step away from the spread.

"Returns calculation tells you what you win if a bet hits. Expected value tells you whether the bet was worth placing in the first place. Confuse the two and you will never beat the margin." — Daniel Cole, Growl Games

Frequently Asked Questions

How do you calculate sports betting returns from decimal odds?

Multiply your stake by the decimal odds. A £20 stake at 2.50 returns £50 in total (£30 profit plus your £20 stake). Decimal odds always include your stake in the return figure, which is why they are the simplest format for calculating winnings quickly.

What does +150 mean in American odds?

+150 means a $100 stake returns $150 in profit, for a total payout of $250. Positive American odds show how much profit you win on a $100 bet. The formula is: profit = stake × (American odds ÷ 100), so a $40 bet at +150 wins $60 profit.

How do you calculate a parlay payout?

Convert every leg to decimal odds, multiply them together, then multiply by your stake. A three-leg parlay at 1.80, 2.10, and 1.95 with a £10 stake returns £10 × 1.80 × 2.10 × 1.95 = £73.71 total. Parlays compound risk fast — every added leg cuts your real probability of winning.

What is implied probability and why does it matter?

Implied probability is the win percentage the odds suggest. At decimal odds of 2.00, the bookmaker is implying a 50% chance. The formula is: 1 ÷ decimal odds × 100. If you believe the true probability is higher than the implied figure, the bet has positive expected value.

Why do bookmakers' implied probabilities add up to more than 100%?

The excess above 100% is the overround — the bookmaker's built-in margin. On a two-way market with both sides priced at 1.91, the implied probabilities total roughly 104.7%, meaning a 4.7% margin. Lower-margin books mean better long-term returns for the bettor.

What is expected value in betting?

Expected value (EV) is the average profit or loss per bet if you placed it many times. EV = (probability of winning × profit) − (probability of losing × stake). Positive EV bets make money long-term; negative EV bets lose money. Disciplined bettors only place +EV wagers.

Sources & Further Reading

1
UK Gambling Commission
Official UK regulator publishing guidance on licensed operators, odds transparency, and consumer protection.
gamblingcommission.gov.uk
2
Malta Gaming Authority
European regulator overseeing many international sportsbooks; publishes operator licensing standards.
mga.org.mt
3
Wizard of Odds
Long-standing reference for gambling math, expected value calculations, and house-edge breakdowns by game and market.
wizardofodds.com
4
H2 Gambling Capital
Industry data provider publishing global gambling market sizing, margin benchmarks, and sportsbook performance data.
h2gc.com
5
SBC News
Industry publication covering sportsbook operations, odds compilation, and regulatory developments in betting markets.
sbcnews.co.uk
6
EGR Global
eGaming Review — trade publication tracking operator margins, product launches, and analytics across regulated betting markets.
egr.global
7
BeGambleAware
UK charity providing free, confidential support for anyone affected by gambling-related harm.
begambleaware.org

← Back to all articles