Wagering Requirements and the Real Value of a Bonus

A casino bonus is not money. It is a conditional promise: the operator will release funds if the player first wagers a specified multiple of the bonus, on games that count toward that multiple, within a time limit, without exceeding a maximum bet. The headline number is the bonus amount. The number that determines what the offer is worth is the wagering requirement, and it is usually the least prominent figure on the page.

This page derives the expected value of a bonus from its terms. The method is arithmetic, not opinion. Every figure below is tied to the clause that produces it, and the same calculation can be repeated with any offer’s numbers.

The formula

The expected value of a bonus, before any cap on winnings, is:

EV = bonus amount − (wagering multiple × bonus amount × house edge of the clearing game)

The first term is what the operator credits. The second term is what the player is expected to lose while meeting the condition. The difference is the offer’s real worth.

Two adjustments are almost always required:

• Game weighting. Not every game contributes equally to the wagering total. Slots often count 100%, blackjack 10%, and some games 0%. A 10% weighting multiplies the effective wagering multiple by ten for that game.
• Maximum conversion. Many bonuses cap the amount that can be withdrawn from bonus winnings. If the cap is lower than the calculated EV, the cap becomes the ceiling.

Worked example: 100 at 35x on a 4% game

Take a 100 bonus with a 35x wagering requirement on slots that contribute 100%. The clearing game has a 4% house edge.

1. Total amount to be wagered: 35 × 100 = 3,500.
2. Expected loss from that wagering: 3,500 × 0.04 = 140.
3. Expected value: 100 − 140 = −40.

The offer is a net loss of 40 before any cap. The player who takes it and clears it exactly is expected to finish 40 down relative to not taking it. The bonus does not cover the cost of clearing it.

This is the common case. Most bonuses at high multiples on high-edge games are negative. A page that presents such an offer as a gain is advertising, not reference.

Worked example: 100 at 20x on 0.5% blackjack at 10% weighting

Now take a 100 bonus with a 20x wagering requirement. Blackjack contributes 10% toward wagering and has a 0.5% house edge under a specified rule set (six decks, dealer stands on soft 17, blackjack pays 3:2, double after split allowed).

1. Effective wagering multiple for blackjack: 20 ÷ 0.10 = 200.
2. Total amount to be wagered: 200 × 100 = 20,000.
3. Expected loss: 20,000 × 0.005 = 100.
4. Expected value: 100 − 100 = 0.

At these terms the offer is break-even before the cap. Any cap below 100 makes it negative. Any rule change that raises the house edge—dealer hits soft 17, blackjack pays 6:5—moves it negative.

Break-even multiple

The break-even wagering multiple is the point at which the expected loss equals the bonus:

Break-even multiple = 1 ÷ house edge

For a 4% game: 1 ÷ 0.04 = 25. A 25x requirement on a 4% game is break-even. A 35x requirement is a loss. For a 0.5% game: 1 ÷ 0.005 = 200. A 20x requirement on a 0.5% game is well inside break-even, but only if the game contributes 100%. At 10% weighting the effective multiple is 200, which is exactly break-even.

The table shows why the same 20x requirement can be generous or impossible. The determining conditions are the game’s house edge, the rule set, and the weighting. A figure without those conditions is not a figure.

What people get wrong, and why

The most common error is treating the bonus amount as the value. The operator credits 100, so the offer is assumed to be worth 100. This is natural because the credit is the only number presented as money. The wagering requirement is presented as a multiplier, which reads as a condition rather than a cost. The cost is real: it is the expected loss from the required play.

The second error is comparing bonuses by their wagering multiple alone. A 20x offer on a 4% game is worse than a 35x offer on a 0.5% game at 100% weighting. The multiple is meaningless without the edge of the game that clears it.

The third error is ignoring weighting. A 20x requirement on blackjack at 10% weighting is effectively 200x. The player who reads only the headline multiple will overestimate the offer by a factor of ten.

The fourth error is assuming that a larger bonus is better. A 500 bonus at 35x on a 4% game has an expected value of 500 − (35 × 500 × 0.04) = 500 − 700 = −200. A 100 bonus at 20x on a 0.5% game at 100% weighting has an expected value of 100 − (20 × 100 × 0.005) = 100 − 10 = 90. The smaller bonus is worth more.

These mistakes are not stupid. They follow from the way offers are presented. The headline is the bonus; the conditions are in a linked document. The arithmetic requires reading both.

Clauses that void a win

A positive expected value can be eliminated by a term that confiscates the winnings. The clauses below appear in most bonus terms. The reader should look for the shape of the sentence, not a specific wording.

• Maximum bet while a bonus is active. Typical form: “The maximum bet allowed while a bonus is active is 5 per spin or 0.50 per bet line.” Exceeding it can void the bonus and any winnings derived from it. A player who places a 10 bet on a 5 maximum has no recourse.
• Irregular play. Typical form: “Irregular play includes placing bets that do not contribute to the wagering requirement, or low-risk betting patterns.” This clause is broad. It can be applied to a player who bets the minimum on blackjack to clear a bonus, or who switches games to exploit weighting.
• Dormancy. Typical form: “Bonuses expire after 30 days of account inactivity.” A player who clears most of the requirement and then stops for a month can lose the remaining balance.
• Game restrictions. Typical form: “Wagering on excluded games does not count toward the requirement.” Some games are excluded entirely. A player who clears a bonus on an excluded game may find the winnings removed.
• Maximum conversion. Typical form: “The maximum amount that can be withdrawn from bonus winnings is 200.” This caps the upside. If the calculated EV is 300 but the cap is 200, the offer is worth 200 at most.

These clauses are not hidden. They are in the terms. The page that presents the bonus without them is incomplete.

No-wagering bonuses

A no-wagering bonus has no playthrough requirement. The value is the bonus amount, subject to a maximum conversion and a maximum bet. A 10 no-wagering bonus with a 100 cap is worth 10, not 100. The cap is the binding constraint.

No-wagering offers are rare because they are expensive for the operator. When they appear, the cap and the maximum bet are the terms that matter. The absence of a wagering requirement does not mean the absence of conditions.

Applying the formula to any offer

To evaluate an offer, collect five figures:

1. Bonus amount.
2. Wagering multiple.
3. Game weighting for the game to be played.
4. House edge of that game under its specific rule set.
5. Maximum conversion, if any.

Then calculate:

• Effective multiple = wagering multiple ÷ weighting.
• Expected loss = effective multiple × bonus × house edge.
• EV = bonus − expected loss.
• Final value = minimum of EV and maximum conversion, floored at zero if the offer can be declined.

If any of the five figures is missing, the offer cannot be evaluated. The missing figure is the one to find before accepting.

Why the operator structures offers this way

The operator’s expected revenue from a bonus is the expected loss from the required wagering minus the bonus paid. For the operator to profit, the required wagering must produce more expected loss than the bonus. The wagering multiple and the game weighting are set to ensure this for the average player. The maximum conversion caps the operator’s exposure to a player who runs well.

This is not a moral judgment. It is the arithmetic of the product. A bonus is a marketing cost, and the terms are designed to keep that cost below the revenue it generates. The player who understands the calculation is not the average player, and the terms are not designed for that player.

The figure that matters

The bonus amount is the number the operator wants the player to see. The wagering requirement is the number that determines the cost. The house edge of the clearing game is the number that determines the expected loss. The maximum conversion is the number that caps the upside. The expected value is the number that matters.

For most offers, the expected value is negative. For a few, it is positive. The difference is in the terms, and the terms are available before acceptance.