LR Lucky Radar

Pokies analytics · independent · Australia

Return-to-player is a long-run average. Your session is not the long run.

Lucky Radar is a small analytics desk that takes poker machine mathematics seriously. We publish no offers, link to no operators and run no affiliate arrangements. What we do is show the arithmetic that machine specifications imply — and let you run it yourself below.

Measured over10⁷+

Return-to-player figures quoted by manufacturers are computed over tens of millions of simulated spins — not over an evening.

Typical session~300

A one-hour session at usual speeds is a few hundred spins. At that scale variance, not RTP, decides what happens.

House edge is100 − RTP

That is the whole formula. A 90% machine keeps 10c of every dollar cycled, on average, over the long run.

Run the arithmetic yourself

This is a Monte Carlo simulation, not a game and not a machine. It takes a return-to-player figure, a hit frequency and a session length, runs the session a thousand times, and shows you the spread of outcomes. Nothing is wagered, nothing is won — it is a histogram.

Median result—
Sessions in profit—
Worst 5%—
Best 5%—
Average result—

Press run. The bar chart shows how 1000 identical sessions ended, in credits.

What this demonstrates: a machine can advertise a high return figure and still send most short sessions home down, because the return is carried by rare large outcomes. That is variance doing the work, and it is the single most misread number in the category.

What return-to-player actually measures

Return-to-player is the proportion of everything cycled through a machine that the machine returns across its full theoretical cycle. Two points follow from that definition and both are routinely lost:

It is computed on turnover, not on deposits. A hundred dollars cycled twenty times is two thousand dollars of turnover, and the percentage applies to the two thousand. This is why "I got back 90% of my money" and "the machine returns 90%" are different sentences.

It is an average over the whole cycle. The figure is a limit, approached over millions of outcomes. Nothing obliges any particular thousand spins to look like it, and in practice they do not.

How the figure is built

ComponentWhat it contributesShare of return
Small frequent outcomesKeeps a session alive; barely moves the totallow
Mid-range outcomesThe bulk of visible returnsmoderate
Rare top outcomesCarries a large share of the advertised figurehigh

Shares are qualitative on purpose. Exact splits are specific to each machine's paytable, and we do not publish numbers we have not computed from a published paytable ourselves.

Why variance beats the average over a session

Take the simulator above at its defaults: a 90% return, a quarter of spins returning something, three hundred spins. The average result across a thousand sessions lands near the arithmetic expectation — minus ten per cent of turnover. The median session lands somewhere else entirely, and the distribution is skewed, not symmetric.

That asymmetry is the point. A symmetric distribution would put half of sessions either side of the average. A skewed one puts most sessions below it, and pays for that with a thin tail of large results. Raise the return figure and the tail gets thicker; it does not make the typical session typical.

Reading a distribution honestly

The median tells you what a normal session looks like. The average tells you what the machine's specification implies. When those two numbers disagree — and here they always do — quoting only one of them is how the category gets misunderstood.