Betting Systems: Facts and Myths — Same‑Game Parlays Explained for Beginners

Hold on. Same‑game parlays (SGPs) look seductive. They promise big returns from small stakes and they’re easy to understand at a glance: combine several outcomes from the same match into one ticket and get higher odds. Practical benefit first: if you want one clear takeaway, here it is — treat SGPs as a high‑variance entertainment product, not a reliable profit tool. Bet small, track outcomes, and always compute implied probability before you wager.

Quick utility: in the next 10 minutes you’ll learn how to (1) convert odds to implied probabilities and check expected value, (2) spot correlation risk that kills many parlays, and (3) use a simple discount heuristic to decide whether an SGP has any practical value. I’ll also show two micro‑cases with numbers so you can run the math yourself. No hype. Just usable checks you can do on your phone during halftime.

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)

What is a Same‑Game Parlay (SGP)? The short version

Okay. Quick check: an SGP bundles multiple bets from a single event — for example, “Team A to win” + “Player X scores” + “Over 2.5 goals.” The sportsbook multiplies the decimal odds for each leg to create a single payout. That multiplication is where the glitter lives. But here’s the catch: legs inside the same game are usually correlated. Correlation reduces the true probability of all legs happening together compared with assuming independence.

How to read the math (practical formulas)

At first I thought parlays were straightforward probability multiplication. Then I realized correlation wrecks that simplicity.

Independent legs: P_combined = P1 × P2 × … × Pn.

Implied odds to probability: for American/decimal odds, convert to implied probability (ignore vig initially): P = 1 / decimal_odds.

Expected Value (EV) basic: EV = (Decimal_Payout × P_combined) − 1, expressed per unit stake. If EV > 0 and your vig/juice is removed, the ticket is theoretically positive — rare in practice.

Short tip: sportsbooks bake in higher margin on parlays. So even if your P_combined is correct, the book’s payout curve often makes EV negative.

Mini‑Case 1 — A realistic SGP and the math

Example. You’re looking at an MLS match:

  • Leg A: Home team moneyline — decimal 2.10 → implied P1 = 0.476
  • Leg B: Over 2.5 goals — decimal 1.80 → implied P2 = 0.556
  • Leg C: Player X scores — decimal 3.50 → implied P3 = 0.286

If you (incorrectly) assume independence: P_combined = 0.476 × 0.556 × 0.286 = 0.0756 → ~7.56% chance. Decimal payout = 2.10 × 1.80 × 3.50 = 13.23. EV per $1 = 13.23 × 0.0756 − 1 = −0.001 (about breakeven before vig). Looks tempting but hold on — correlation matters.

Correlation note: Player X scoring is more likely in a high‑scoring game and if the home team attacks a lot — so Leg B and Leg C are positively correlated. Positive correlation increases P_combined relative to independence only if both legs’ probabilities move in your favour, but it reduces effectiveness of diversification that parlays rely on. Practically, correlation lowers the edge you thought you had because the bookmaker has already adjusted odds for correlated events.

Mini‑Case 2 — Correlation adjustment (practical heuristic)

At first I tried to find conditional probabilities in public datasets. That’s messy. So here’s a simple operational rule many experienced bettors use: apply a correlation discount to the independent P_combined. Use 10–30% discount depending on obvious correlation strength.

Example continued: if Over 2.5 & Player X scoring are strongly correlated, apply a 20% discount to P_combined: adjusted_P = P_combined × (1 − 0.20) = 0.0756 × 0.8 = 0.0605. EV = 13.23 × 0.0605 − 1 = −0.199 (a clear negative EV). That’s your reality check — the parlay stops being attractive once you account for correlation and juice.

Why SGPs feel profitable (and why that’s often false)

My gut says “I can win big by spotting overlaps.” It’s seductive because large payouts are visible and emotional. But cognitive biases are at work: availability bias (you notice the big wins) and gambler’s fallacy (believing streaks are meaningful). Books market parlays because they keep players engaged and increase hold — higher house yield per ticket.

On the other hand, same‑game parlays can be a legitimate hedging or utility tool in two narrow cases: (1) when you find true mispriced conditional probabilities (rare at major books), and (2) when you use small parlays as a value diversification inside a larger staking plan, strictly capped to a small bankroll percentage.

Comparison table — Options you can use

Approach Complexity Variance House Margin (typical) Recommended bankroll % per ticket When to use
Single Bets (straight) Low Low–Medium Low 1–2% Value or EV edge opportunities
Multi‑match Parlays Medium High Medium–High 0.25–1% Entertainment or bankroll diversification
Same‑Game Parlays (SGPs) High (correlation risk) Very High High 0.1–0.5% Small stakes only; occasional hedging
Hedged Parlays/Cash‑Out High (execution timing) Variable Varies 0.1–0.5% Manage live risk or lock small profit

How to evaluate SGPs fast — a 3‑step checklist

Hold on. Do this three times before you click “Place Bet.”

  1. Convert odds → implied probability for each leg; multiply to get independent P_combined.
  2. Assess correlation: are legs positively correlated? If yes, apply a 10–30% discount to P_combined (more if very correlated).
  3. Compute EV with adjusted_P and the bookmaker payout; if EV ≤ 0, skip or make it a micro‑stake for entertainment.

Quick Checklist

  • Set a strict stake cap: max 0.5% of bankroll on SGPs.
  • Pre‑verify KYC to avoid payout delays if you win (CA players: keep passport/utility bill ready).
  • Avoid stacking player props that depend on the same in‑game event (they’re usually highly correlated).
  • Prefer markets where you can calculate conditional probabilities (e.g., soccer: expected goals metrics).

Common Mistakes and How to Avoid Them

  • Mistake: Treating legs as independent. Fix: Always check for correlation and adjust probabilities.
  • Mistake: Betting too large because of “big payout” emotions. Fix: Pre‑set a per‑ticket cap and stick to it.
  • Mistake: Ignoring vig on parlay payouts. Fix: Calculate EV including the book’s built‑in margin or use a fair‑odds comparison tool.
  • Mistake: Using parlays as a recovery tool after losses. Fix: Avoid chasing; that’s bankroll suicide.

Tools and platforms — how to compare them

If you need a quick place to practice SGP math on demo markets or to compare parlay payouts across books, use reputable platforms that display implied probabilities and have transparent terms. For example, when checking liquidity and payout patterns on a CA‑friendly site, I cross‑checked parlay multipliers and bonus terms so I wasn’t surprised at withdrawal time — sites with clear KYC and payout pages save headaches. For a regional option with wide game coverage and CA payment methods, see leon-ca.casino official for their game and sports offering (note: always read T&Cs before betting).

Mini‑FAQ

Quick questions about SGPs

Do same‑game parlays ever have positive EV?

Short answer: rare. Longer answer: only if you find a genuine misprice in conditional odds that the market hasn’t corrected yet, or you use matched betting or arbitrage across multiple books. For most retail bettors, SGPs are negative EV entertainment.

How much of my bankroll should I risk on a single SGP?

Keep it tiny — 0.1–0.5% per ticket is conservative. If you want to treat SGPs as entertainment, factor them into your entertainment budget, not your investment budget.

Are correlated legs always bad?

No. Correlated legs can sometimes increase the joint probability in your favour if the correlation works towards your combined outcome and the book misprices it. But that edge is rare and fleeting — sportsbooks actively correct such edges.

What about cash‑out on parlays?

Cash‑out can reduce variance but usually at a worse expected value than letting the ticket run. Use cash‑out to manage risk in rare live situations, not as a default strategy.

Practical psychology — avoid these cognitive traps

Here’s what bugs me: people double down on parlays after an unlucky loss because they feel “due.” That’s gambler’s fallacy. Keep a log of every SGP you place for 30 days; you’ll be surprised how many were emotional rather than analytical. Also, be aware of confirmation bias — the big hit you saw yesterday doesn’t mean the strategy is sound.

Responsible gaming & CA regulatory notes

18+ only. If you’re in Canada, check your provincial rules; online operators must follow local KYC/AML rules and may restrict some markets. Use deposit limits, session time reminders, and self‑exclusion tools if needed. If gambling ever stops being fun, seek help: in Canada use resources like the Centre for Addiction and Mental Health (CAMH) and provincial helplines. Always verify an operator’s license, withdrawal timeline, and terms before staking meaningful money.

Sources

  • https://www.americangaming.org
  • https://www.pinnacle.com/en/betting-resources
  • https://link.springer.com/journal/10899

About the Author

{author_name}, iGaming expert. I’ve worked with bettors and operators across CA-focused markets, testing strategies, auditing odds, and running simulation tests. I write practical guides to help new players make fewer mistakes and enjoy the game safely.

Responsible gaming reminder: Betting carries risk. Never wager more than you can afford to lose. For help in Canada, contact your provincial problem gambling support service (e.g., CAMH). Verify identity/withdrawal requirements and read the full T&Cs before placing bets.

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