Why a 20% contribution game costs five times as much

You hold 100 SC with a 2x requirement, but the game you want to play contributes only 20% toward it. How much does that change the cost?

Inputs

The values used in this example, with the unit each is measured in.
InputValueUnit
Starting Sweeps Coins100SC
Playthrough multiplier2x
Game contribution20%
Assumed RTP96%

Working

  1. The requirement itself is unchanged: 100 x 2 = 200 SC of credited wagering.
  2. But only 20% of each coin staked is credited. To generate 200 SC of credit you must stake 200 / 0.2 = 1,000 SC.
  3. The house edge applies to what you actually stake, not to what gets credited. The expected loss is 1,000 x 0.04 = 40 SC, five times what the same requirement would cost at full contribution.
  4. The break-even multiplier falls in the same proportion: 0.2 / 0.04 = 5x rather than 25x. At 20% contribution, a requirement above 5x is expected to consume the whole balance.
  5. This is the single largest effect on this site, and it is the one most often left out of a package comparison. Contribution does not change the odds of the game. It changes how many times you have to face those odds.

Result

Output of expected-balance v1.0.0 for the inputs above. These are the same figures the calculator gives for the same inputs.
OutputValue
Requirement (credited)200.00 SC
Must actually stake1,000.00 SC
Expected loss40.00 SC
Expected balance after60.00 SC
Break-even multiplier5x

Takeaway

Contribution divides. Halving the contribution doubles what a requirement costs, and dropping it to 20% multiplies the cost by five.

The formula behind it

Assumptions

Limitations

This is a theoretical calculation, not a prediction. It describes an average over a very large number of repetitions and says nothing about what will happen in any particular session.

Run these numbers yourself · All worked examples · Methodology