How to Read Sports Betting Odds and Value Free Spins Promotions — A Practical Beginner’s Guide

Hold on. You don’t need a degree in maths to make smarter choices with odds and free spins.
Here’s the quick win: treat odds as probability statements and free spins as conditional value — then compare expected value (EV) before you touch your wallet.

Alright, check this out — in the next 10 minutes you’ll get a simple EV formula, two short worked examples, a compact comparison table, a quick checklist to use at sign-up, common traps to avoid, and a mini-FAQ you can show a mate.
No jargon padding. Just practical moves you can use right away.

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)

Why odds and free spins matter together

Here’s the thing. Odds tell you the payout ratio and implied probability.
If a team’s on odds of 2.50, that’s roughly a 40% implied chance (1/2.5 = 0.40).
Free spins are a promotional currency from casinos and sometimes cross-promotional with betting brands; they’re not cash until you get through wagering rules.
Put simply: odds are transparent; free spins are conditional — you need to convert those spins into an EV number before deciding to play.

Basic EV math you’ll actually use

Hold on. Simple formulas work best.
To value a single free spin: EV_spin = (Average win per spin) × (Probability of cashing out per promotional T&C).
To value an odds bet: EV_bet = (Implied probability from odds × payout) − (1 − implied probability) × stake.
If EV_spin > cost to unlock (or relative value of funds tied), the free spins are worth prioritising.

Example A — valuing a free spin on a 96% RTP slot:
Short version: if RTP = 96% and average stake per spin equals $1, long-run expected return ≈ $0.96 per spin.
But wait — real life differs. Wagering requirements, max win caps and ineligible games often chop that 96% down to 40–70% actual value for the player.
So always adjust RTP by the usable fraction (what the T&Cs allow you to play with).

Example B — valuing an odds bet at 2.50 with a $20 stake:
Implied probability = 1 / 2.50 = 0.40. Expected payout if win = $20 × 2.5 = $50, net profit $30 on a win.
EV_bet = 0.40 × 30 + 0.60 × (−20) = 12 − 12 = $0. It’s a breakeven bet versus true probability.
If you think actual probability is higher than 40%, EV becomes positive; if lower, it’s negative.

How to convert promos into dollars (practical steps)

Hold on. Don’t guess. Measure.
1) Read the T&Cs for max bet, eligible games, game weightings, wagering requirement (WR), expiry and max cashout.
2) Estimate playable RTP: sum(Game RTP × weighting) / total weighting.
3) Compute WR-adjusted EV: EV_adj = RTP_playable × Stake_total − house adjustments (caps/limits).
If WR = 30× on bonus + deposit and you deposit $50 with $20 free spins at $1/spin, compute turnover needed and realistic chance to clear it before max-win or time limits bite.

Comparison: Types of free spins and what they really mean

Offer Type How it pays Typical traps Real-world EV notes
No-deposit free spins Small number, immediate spins without deposit High WR, low max cashout, often high game restrictions Good for testing; net EV often small but positive if you clear caps
Deposit-match + free spins Spins credited after deposit bonus Big WR on both bonus and spins; aggressive game weightings Value depends on WR and allowed RTP games; often negative unless low WR
Sticky/free spin bundles Spins tied to a fixed pool with wagering attached Cannot withdraw bonus cash until WR met; tiny max wins Useful if you can play low-variance games and hit caps
Bet & Spin cross-promos Place a bet and earn spins (or vice versa) Combines sportsbook risk with casino WR; conditional unlocking Best when you can extract sportsbook value and then use spins on high-RTP machines

Where sports odds fit in — and when to prefer a bet over spins

Hold on. Context matters.
If your goal is long-run positive EV and you have edge on a market (value bet), a straight sports bet usually beats a casino spin because odds are explicit and cash is immediate.
If the sportsbook offers cross-promotions or enhanced odds paired with spins, run the numbers: treat the spins as bonus currency and price them in as part of the total expected return.
If you mostly play recreationally and want entertainment value, spins can be appealing — but don’t confuse fun with value.

For practical sign-posting and to compare promotions on the fly, check a reputable aggregator for markets and odds, and keep a running note of wagering rules for casino promos. If you want a combined view of book offers and promotional spins from partners, a single reference that lists odds and promo terms will save you time; many platforms do this, and linking sportsbook offers to casino promos is increasingly common in cross-product ecosystems. For a straightforward place to compare combined bets and promotion mechanics, consider options in mainstream sports betting partners such as sports betting where markets and promotional mechanics are listed side-by-side.

Quick Checklist — decide in under 90 seconds

  • Are you 18+ and eligible under local laws? (Do not proceed if not.)
  • Is the operator licensed for your jurisdiction? (Check regulator site.)
  • What is the wagering requirement (WR) and game weighting?
  • Max bet while wagering? (If > allowed, you risk bonus void.)
  • Max cashout from the promotion?
  • Expiry on spins or bonus funds?
  • Is the sportsbook odds margin reasonable (compare implied vs. your model)?

Common mistakes and how to avoid them

  • Chasing the headline number: “Free 200 spins!” — Ignore the number, read WR and caps.
    Fix: calculate realistic EV, not headline quantity.
  • Assuming slot RTP equals promo value — WR and weighting change that.
    Fix: reduce RTP by the playable fraction and factor in max-win limits.
  • Using maximum allowed bet during WR — that often voids the bonus.
    Fix: stick to the stated max bet and restrict volatility if WR is high.
  • Treating boosted odds as free money without checking settlement conditions.
    Fix: factor in liability limits, stake restrictions and settlement windows.
  • Mixing unlicensed operators into your strategy — you’ll have no dispute recourse.
    Fix: always prefer licensed operators and check regulator registers first.

Mini case studies — two short scenarios

Hold on. Two short reads.
Case 1 — The novice who took 50 free spins: Jane accepted 50 free spins with a 40× WR and $0.10 spin value. Realising the spins were eligible only on low-RTP, high-variance titles with a $50 max cashout, she estimated effective EV ≈ $3. After failing to clear WR, she ended up with $0. Outcome: small entertainment value, but poor cash realization due to high WR and caps.

Case 2 — The value bettor who used an enhanced odds offer: Tom received +0.40 odds boost on a low-margin market and $10 in spins after placing a $50 qualifying bet. He priced the boost (expected added EV from the odds) and valued the $10 spins at $6 after WR adjustments. Combined, the promo added positive EV for him because he had a pre-existing model that identified the market as mispriced.

Mini-FAQ

Are free spins ever worth real money?

Short answer: yes, sometimes. If WR is low (≤10×), game weightings are favourable, and max-win caps are reasonable, free spins can yield a positive expected return. Always convert spins into an EV figure before committing funds.

How do I check if a bookmaker or casino is legal in Australia?

Check the Australian Communications and Media Authority (ACMA) and the Interactive Gambling Act 2001 for rules on offering services to Australians; licensed local operators will also display licensing information. If a site targets Australian customers without domestic licensing, treat it as high risk. See authoritative guidance in the Sources below.

Can I use free spins to test a betting strategy?

Free spins are for slots and not directly useful to test sportsbook strategies. However, cross-promotional offers that link sportsbook activity to casino spins can be modelled to measure overall promotional EV; treat them as a bundle and price each element separately.

18+ only. Gambling involves risk and is not a way to make guaranteed money; follow local laws and use responsible gambling tools. If you feel gambling is becoming a problem, seek help via Gambling Help Online or local support services.

Sources

  • https://www.acma.gov.au — guidance on interactive gambling and site blocking.
  • https://www.legislation.gov.au/Details/C2004A00721 — key Australian legislation governing online gambling.
  • https://www.gamblinghelponline.org.au — national counselling and resources for responsible play.
  • https://www.responsiblegambling.vic.gov.au — tools and practical advice for bankroll control.

About the Author

James Riley, iGaming expert. James has ten years’ hands-on experience in betting markets, promotions valuation and player protection advocacy across APAC. He focuses on practical EV analysis and helping players make safer, more informed choices.

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