Klub Keno

Introduction

Online casinos powered by Gamesys feature a game known as 'Klub Keno.' This game resembles 40-ball keno , with an added twist: if the unique 'star ball' matches one of the player's selections, the winnings are doubled.

Rules

Here is my interpretation of the game rules. Unfortunately, I couldn't locate an official set of rules, so this is based on what I have observed. Sometimes, the 'star ball' does not actually display a star, which created some confusion. If any of my rules are incorrect, I would appreciate any clarifications.

1. There are 40 balls, numbered 1 to 40.
2. The player shall pick 3 to 10 numbers.
3. Out of the 40 balls, one will be selected at random to serve as the 'Star Ball.'
4. During the game, 10 numbers will be drawn randomly.
5. Players will receive payouts depending on how many of the randomly drawn numbers correspond to their selected numbers.
6. If the Star Ball is drawn and it aligns with one of the player’s selections, any winnings will be multiplied by two.

The table below illustrates the payouts based on the number of matching numbers according to the player's selections.

Analysis

The subsequent table outlines the combinations available for various numbers of picks and matches.

The next table indicates the probabilities, rounded to six decimal places, for each combination of picks and matching numbers.

The following table details the contribution to the overall return, specified to six decimal places, for each number of selections and matches. This table takes into account the likelihood and influence of matching the Star Ball, with the bottom row summarizing the total returns for different numbers of picks.

Strategy

As illustrated in the table above, the highest return is achieved with a pick of 10, boasting a return rate of 95.81%.

Written by: Michael Shackleford