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Frenzy Disks - 16 Balls
Introduction
Frenzy Disks, a roulette variant with 16 numbered slots, is developed by Red Rake Gaming . This game consists of two overlapping wheels, each with 25 distinct numbers and 8 corresponding balls. Similar to keno, the aim is to guess the numbers where the balls will land.
Rules
- In this game, you'll find two overlapping roulette wheels. The inner wheel includes all 25 even integers from 2 to 50, while the outer wheel contains all 25 odd integers in the same range.
- Players place a wager that is evenly split, with one half going to each of the wheels.
- Participants select eight even numbers and eight odd numbers from the options provided.
- The game will launch a total of 16 balls, allocating 8 to the inner wheel and 8 to the outer wheel, ensuring each ball lands on a different number.
- Winnings for the player are determined by how many of their selected numbers correspond to where the balls land. Below is the payment structure that outlines the payouts.
- Additionally, players can receive a multiplier based on the lesser count of matches from the two wheels. The associated multiplier chart is included below.
The payment structure for both the inner and outer wheels is detailed here. Payouts are calculated based on the stakes for that specific wheel (or half of the overall wager).
Pay Table
Matches | Pays |
---|---|
8 | 1500 |
7 | 200 |
6 | 30 |
5 | 2 |
4 | 1.2 |
3 | 0.6 |
2 | 0 |
1 | 0 |
0 | 0 |
Below is the multiplier table, indicating that the multiplier received is contingent on the smaller number of hits between the two wheels.
Multiplier Table
Matches | Multiplier |
---|---|
8 | 10 |
7 | 8 |
6 | 6 |
5 | 4 |
4 | 3 |
3 | 2 |
2 | 1 |
1 | 1 |
0 | 1 |
Example

In the example provided, there are 4 matches on the red wheel and 5 on the blue wheel. The total stake was 2€, split as 1€ for each wheel. Hitting 4 numbers on the red wheel yields a payout of 1.2€, while 5 matches on the blue wheel rewards 2€. You can identify the matches by comparing your selected numbers (highlighted) with the displayed 'latest numbers.' The smaller count of matches is 4. Consequently, the multiplier corresponding to 4 matches is 3. Therefore, the total winnings are calculated as 4 × (1.2 + 2) = 9.6€.
Analysis
The following chart illustrates the anticipated returns for each wheel. The lower right corner indicates that players can expect to recover 57.97% of their wager on each wheel, not accounting for multipliers.
Expected Win Per Wheel
Event | Pays | Combinations | Probability | Return |
---|---|---|---|---|
8 | 1500 | 1 | 0.000001 | 0.001387 |
7 | 200 | 136 | 0.000126 | 0.025149 |
6 | 30 | 3,808 | 0.003521 | 0.105624 |
5 | 2 | 38,080 | 0.035208 | 0.070416 |
4 | 1.2 | 166,600 | 0.154035 | 0.184842 |
3 | 0.6 | 346,528 | 0.320392 | 0.192235 |
2 | 0 | 346,528 | 0.320392 | 0.000000 |
1 | 0 | 155,584 | 0.143849 | 0.000000 |
0 | 0 | 24,310 | 0.022476 | 0.000000 |
Total | 1,081,575 | 1.000000 | 0.579652 |
It is important to note that you cannot simply multiply the expected returns by the anticipated multiplier, as the winnings and the multiplier are interconnected. To determine the overall return, all possible outcomes across both wheels must be accounted for. The next table presents the probabilities of all potential match counts for the inner and outer wheels, rounded to six decimal places. The counts of Blue Matches are depicted across the column headings.
Probability of Match Counts for Both Wheels
Red Matches | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | Total |
---|---|---|---|---|---|---|---|---|---|---|
8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0.000001 |
7 | 0 | 0 | 0 | 0.000004 | 0.000019 | 0.00004 | 0.00004 | 0.000018 | 0.000003 | 0.000126 |
6 | 0 | 0 | 0.000012 | 0.000124 | 0.000542 | 0.001128 | 0.001128 | 0.000506 | 0.000079 | 0.003521 |
5 | 0 | 0.000004 | 0.000124 | 0.00124 | 0.005423 | 0.01128 | 0.01128 | 0.005065 | 0.000791 | 0.035208 |
4 | 0 | 0.000019 | 0.000542 | 0.005423 | 0.023727 | 0.049351 | 0.049351 | 0.022158 | 0.003462 | 0.154035 |
3 | 0 | 0.00004 | 0.001128 | 0.01128 | 0.049351 | 0.102651 | 0.102651 | 0.046088 | 0.007201 | 0.320392 |
2 | 0 | 0.00004 | 0.001128 | 0.01128 | 0.049351 | 0.102651 | 0.102651 | 0.046088 | 0.007201 | 0.320392 |
1 | 0 | 0.000018 | 0.000506 | 0.005065 | 0.022158 | 0.046088 | 0.046088 | 0.020693 | 0.003233 | 0.143849 |
0 | 0 | 0.000003 | 0.000079 | 0.000791 | 0.003462 | 0.007201 | 0.007201 | 0.003233 | 0.000505 | 0.022476 |
Total | 0.000001 | 0.000126 | 0.003521 | 0.035208 | 0.154035 | 0.320392 | 0.320392 | 0.143849 | 0.022476 | 1 |
The subsequent table outlines the collective winnings for both wheels based on match counts on each. The column headings display the count of blue number matches.
Total Win of Both Wheels
Red Matches | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
---|---|---|---|---|---|---|---|---|---|
8 | 30000 | 13600 | 9180 | 6008 | 4503.6 | 3001.2 | 1500 | 1500 | 1500 |
7 | 13600 | 3200 | 1380 | 808 | 603.6 | 401.2 | 200 | 200 | 200 |
6 | 9180 | 1380 | 360 | 128 | 93.6 | 61.2 | 30 | 30 | 30 |
5 | 6008 | 808 | 128 | 16 | 9.6 | 5.2 | 2 | 2 | 2 |
4 | 4503.6 | 603.6 | 93.6 | 9.6 | 7.2 | 3.6 | 1.2 | 1.2 | 1.2 |
3 | 3001.2 | 401.2 | 61.2 | 5.2 | 3.6 | 2.4 | 0.6 | 0.6 | 0.6 |
2 | 1500 | 200 | 30 | 2 | 1.2 | 0.6 | 0 | 0 | 0 |
1 | 1500 | 200 | 30 | 2 | 1.2 | 0.6 | 0 | 0 | 0 |
0 | 1500 | 200 | 30 | 2 | 1.2 | 0.6 | 0 | 0 | 0 |
The next table combines the previous two to present the overall return according to the number of matches from both wheels. The lower right cell indicates an overall game return of 96.07%.
Total Return of Both Wheels
Red Matches | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | Total |
---|---|---|---|---|---|---|---|---|---|---|
8 | 0 | 0.000001 | 0.000015 | 0.000098 | 0.000321 | 0.000445 | 0.000222 | 0.0001 | 0.000016 | 0.001216 |
7 | 0.000001 | 0.000025 | 0.000305 | 0.001789 | 0.005845 | 0.008082 | 0.004029 | 0.001809 | 0.000283 | 0.022167 |
6 | 0.000015 | 0.000305 | 0.002231 | 0.007933 | 0.025381 | 0.034518 | 0.016921 | 0.007597 | 0.001187 | 0.096088 |
5 | 0.000098 | 0.001789 | 0.007933 | 0.009917 | 0.026032 | 0.029329 | 0.01128 | 0.005065 | 0.000791 | 0.092233 |
4 | 0.000321 | 0.005845 | 0.025381 | 0.026032 | 0.085416 | 0.088833 | 0.029611 | 0.013295 | 0.002077 | 0.27681 |
3 | 0.000445 | 0.008082 | 0.034518 | 0.029329 | 0.088833 | 0.123181 | 0.030795 | 0.013826 | 0.00216 | 0.331169 |
2 | 0.000222 | 0.004029 | 0.016921 | 0.01128 | 0.029611 | 0.030795 | 0 | 0 | 0 | 0.092858 |
1 | 0.0001 | 0.001809 | 0.007597 | 0.005065 | 0.013295 | 0.013826 | 0 | 0 | 0 | 0.041691 |
0 | 0.000016 | 0.000283 | 0.001187 | 0.000791 | 0.002077 | 0.00216 | 0 | 0 | 0 | 0.006514 |
Total | 0.001216 | 0.022167 | 0.096088 | 0.092233 | 0.27681 | 0.331169 | 0.092858 | 0.041691 | 0.006514 | 0.960747 |
External Links
- Play Frenzy Disks available for free at the Red Rake Gaming website.
- Discussion about Frenzy Disks (16 Balls) is available for discussion on my forum at Wizard of Vegas.