Does purchasing a bonus feature alter the actual volatility and standard deviation in slot sessions?

Hello there @Zeiser my friend!

From my understanding, purchasing a bonus feature does not necessarily change the underlying volatility of a slot in the mathematical sense. However, it can significantly alter the way volatility is experienced during a session.

When playing the base game organically, the distribution of outcomes includes both regular spins and the possibility of triggering a bonus feature. By purchasing the feature, you essentially remove the base game portion and gain direct access to a specific part of the game’s overall reward structure.

This raises an interesting question: does the feature purchase simply concentrate the existing volatility into a single event, or does it produce a fundamentally different win distribution?

I would assume that the answer depends on the individual game’s mathematical model. If the bonus feature has a fixed cost and the same underlying reward distribution as naturally triggered bonuses, the main difference would be the frequency and concentration of outcomes rather than the actual volatility of the feature itself.

However, when comparing short sessions, I would expect feature buys to produce a much wider range of practical outcomes, including more pronounced swings in bankroll and potentially higher observed standard deviation.

It would be interesting to see a statistical comparison based on a sufficiently large sample, measuring RTP, hit frequency, standard deviation, and the distribution of net results for both approaches.

I am particularly curious whether the difference remains statistically significant over a larger number of spins, or whether it is primarily a consequence of the smaller sample sizes and the concentrated nature of bonus purchases.

I am not a mathematician, but I believe that using the "Bonus Buy" option alters the mathematical structure of a gaming session. In standard play, without a "Bonus Buy", the game consists of a high concentration of frequent and small wins. however, with a "Feature Buy," the game shifts directly into a volatile phase.