How to Calculate Total Equity

To calculate total equity, list all possible outcomes, assign each a probability that adds up to 1, multiply each outcome’s net result by its probability, and add them together. In poker, include both fold equity (the chance opponents fold times the current pot) and showdown equity (your chance of winning if called times the final pot). In casino bets and bonuses, treat equity as expected value: the average result you’d expect over many repeats.

What “total equity” means in gambling

• Equity is the money value of your position once probabilities are accounted for. It is not your balance today; it’s the average result if the same situation happened many times.
• In poker, players often split equity into two parts: fold equity and showdown equity. Your total equity is the sum of both.
• In casino bets, equity is expected value (EV): the weighted average of win and loss amounts.
• For bonuses, equity is the expected cash value after considering wagering, game weighting, expiry, and other terms.

The general formula is the same everywhere:

Total equity = sum of (probability of each outcome × net result of that outcome).

Calculating total equity in poker

You can model a shove, call, or raise by combining fold equity with showdown equity.

1. Identify the current pot (P), your additional amount to invest (I), and the amount opponents must call if they continue (C, usually equal to I).
2. Estimate fold probability (F). This is how often everyone folds to your action.
3. If called, estimate your showdown win probability (W) against the likely calling range.
4. Work out payoffs:
   • If opponents fold: you win P now. Net result = +P.
   • If called and you win: you win the final pot P + I + C, but you already put in I, so net result = P + C.
   • If called and you lose: you lose your investment I. Net result = −I.
5. Combine them:

Total equity (EV) = F × (+P) + (1 − F) × [W × (P + C) + (1 − W) × (−I)].

Poker example (hypothetical numbers)

• Current pot P = £100.
• You shove I = £60. If called, opponent puts in C = £60.
• You estimate F = 40% (0.40).
• If called, your hand has W = 35% (0.35) against the calling range.

EV = 0.40 × £100 + 0.60 × [0.35 × £160 + 0.65 × (−£60)].

• Fold part: 0.40 × £100 = £40.
• Called part inside brackets: 0.35 × £160 = £56; 0.65 × (−£60) = −£39; total = £17.
• Called contribution: 0.60 × £17 = £10.20.
• Total equity: £40 + £10.20 = £50.20.

This means your shove has a positive expected value of about £50. Over many similar spots, you’d expect to gain about that amount on average, even though any single hand can win or lose.

Tip: To estimate W more accurately, use a poker odds tool to compare your hand against a range. You can try our poker odds calculator at /tools/poker-odds.

Calculating equity for casino bets

For a single casino wager, equity is the expected value. List outcomes, multiply by probabilities, and add up.

Roulette example (European single-zero)

An even-money bet (e.g., red) wins if one of 18 red numbers lands and loses otherwise. On a European wheel, there are 37 pockets (18 red, 18 black, 1 zero).

• Stake: £10.
• Win probability: 18/37; Net win if correct: +£10.
• Loss probability: 19/37; Net loss if not: −£10.

EV = (18/37 × £10) + (19/37 × −£10) = £10 × (18/37 − 19/37) = £10 × (−1/37) ≈ −£0.27.

So the total equity of a £10 red bet is about −27p. That small negative is the house edge shown as an average over time. You can explore EVs for different games and bets using our house edge calculator at /tools/house-edge-calculator.

Bonuses and offers: estimating total equity

The equity of a bonus is the expected cash value after applying the terms. A simplified way to model it is:

Bonus equity ≈ Bonus value − Cost of wagering − Friction (caps, weighting, expiry).

A common rough estimate for the cost of wagering on eligible games is:

Cost of wagering ≈ Required turnover × House edge.

House edge is 1 − RTP. If a bonus requires you to wager a certain multiple of the bonus or deposit, multiply that turnover by the game’s edge to estimate the average loss you’ll incur while clearing.

Bonus example (hypothetical)

• Bonus: £20 credited as bonus funds.
• Wagering: 20× bonus on slots.
• Assume you use a slot at 96% RTP (house edge 4%).

Required turnover = £20 × 20 = £400.

Estimated wagering cost = £400 × 0.04 = £16.

Rough equity before other terms ≈ £20 − £16 = £4.

Now adjust for friction:

• Game weighting: If not all games contribute 100%, you may need higher turnover.
• Max cashout caps: If your winnings above a limit are removed, expected value can drop.
• Expiry/time limits: If you cannot complete wagering in time, equity may fall towards zero.

For the exact terms you’re facing, read them carefully and run the numbers. Our wagering requirements guide at /wagering-requirements and bonus calculator at /tools/bonus-calculator can help you model different scenarios.

Combining multiple bets: your portfolio’s total equity

If you place several unrelated bets or play through separate bonuses, you can add their expected values to find your overall equity for the session or week.

• Example: Two independent bets each with EV −£0.27 and −£0.30 sum to −£0.57.
• Correlated outcomes need extra care. For example, two wagers that both depend on the same event are not independent, so simply adding EVs may hide risk spikes even if the total EV is the same.

Equity tells you the long-run average; it does not tell you the volatility (how swingy the results will be). A position can have similar equity but wildly different risk. If you want to explore swings, run trials with a volatility tool or maintain a cautious bankroll buffer.

Practical steps and shortcuts

1. Write the outcomes and their payoffs as if you repeated the spot many times.
2. Assign realistic probabilities that add to 1. In poker, use ranges; in casino bets, use the game’s rules; in bonuses, use posted terms.
3. Multiply each payoff by its probability and sum the results.
4. Sanity-check: Does the result make sense given the house edge or your best estimate of opponent behaviour?
5. Use tools to speed up the maths:
   • For poker hands and ranges, try the poker odds calculator: /tools/poker-odds.
   • For table games, check the house edge calculator: /tools/house-edge-calculator.
   • For bonuses, see the wagering requirements guide: /wagering-requirements and the bonus calculator: /tools/bonus-calculator.

Common pitfalls when estimating equity

• Confusing equity with probability. A 35% chance to win £160 is not the same as 35% equity; you must multiply by the money amounts and include losses.
• Ignoring fold equity in poker. If opponents fold often, your equity can be higher than showdown odds suggest.
• Using a single hand sample. One result doesn’t validate or invalidate an equity estimate.
• Forgetting rake, fees, or limits. Rake in poker pots, table commission, withdrawal fees, or maximum win caps can change payoffs.
• Misreading bonus terms. Game weighting, excluded games, or max bet rules during wagering can materially reduce bonus equity.
• Overfitting ranges. In poker, be realistic about what opponents actually continue with, not just the hands you fear.

Quick reference formulas

• General: Equity = Σ (Probability of outcome × Net result).
• Poker shove: EV = F × P + (1 − F) × [W × (P + C) + (1 − W) × (−I)].
• Bonus cost (rough): Turnover × House edge, where House edge = 1 − RTP.

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Staying in control

Set a clear budget before you play and stick to it. Consider using deposit limits, loss limits, and session reminders. Treat any equity or expected value calculation as a guide to the long run, not a promise for tonight.

• Only gamble what you can afford to lose and view it as paid entertainment.
• Take breaks, and step away if you feel stressed or are chasing losses.
• Gambling is for adults aged 18 and over in the UK.
• If you’re worried about your gambling or someone else’s, free and confidential help is available from the National Gambling Helpline on 0808 8020 133.