Expected return is not the balance you will finish with

An expected value is a weighted average across possible outcomes. It need not be an outcome any single session can produce.

The distinction that matters

For a finite model, multiply each possible return by its probability and add the products. The result describes the model's average, not a scheduled payment. A final balance also depends on starting funds, deposits, withdrawals and stakes, so it cannot be read directly from a return percentage.

A worked example

A fictional C$1 game returns C$2 with probability 0.45 and zero otherwise. Expected return is C$0.90, yet the actual return on one play is either C$2 or zero, never C$0.90. Subtracting the C$1 stake gives expected net result of minus C$0.10.

Your next steps

  • List possible outcomes and probabilities when available.
  • Check that probabilities sum to one.
  • Distinguish gross return from net result.
  • Avoid presenting the expected value as a promised balance.

Where this answer stops

Real game distributions can be far more complex than this toy model. Without the distribution, RTP alone does not tell you the chance of finishing ahead or the spread of possible losses.

Sources & reading

Original Northline explanation. Worked examples use stated assumptions; they do not establish an operator’s policy or predict personal results. Read how we handle evidence.

An editorial review date is not a new policy effective date. Always check the current source for operator-specific conditions.

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