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Rival Powered Bingo
Introduction
This game presented a problem in how to title it. The game itself is titled just bingo. However, I already write about live bingo and didn't want to confuse my readers between that and this game created by Rival Powered. For lack of a better idea, I shall call this game Rival Powered Bingo.
Rival Powered bingo is not played against other players but only against the ball draw of the game, much like in keno. The player may choose a 30, 75, 80, or 90 number game. Within each game, there are three choices for the number of balls. The fewer the balls, the greater the wins.
In all games only the highest win per card is paid. For purposes of this game a "line" is vertical or diagonal. Diagonal lines are treated separately. Also, contrary to what the rules may imply, a double bingo must consist of one vertical and one horizontal line.
The player may play 1 to 100 cards and may bet 1¢, 5¢, 10¢, 25¢, 50¢, or $1 per card. However, the total amount bet may not exceed $20.
30 Numbers
The 30-number game is played on a 3 by 3 card. The only win is for a coverall. The player may choose to have 20, 22, or 24 numbers drawn. The fewer the balls, the more the player stands to win.
The following three tables shows the probability and return of all possible wins for 20, 22, and 24 balls respectively. The greatest return is for 20 balls at 93.92%.
30 Number Bingo — 20 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 80 | 0.011740 | 0.939167 |
Loser | 0 | 0.988260 | 0.000000 |
Total | 1.000000 | 0.939167 |
30 Number Bingo — 22 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 27 | 0.034767 | 0.938715 |
Loser | 0 | 0.965233 | 0.000000 |
Total | 1.000000 | 0.938715 |
30 Number Bingo — 24 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 10 | 0.091388 | 0.913882 |
Loser | 0 | 0.908612 | 0.000000 |
Total | 1.000000 | 0.913882 |
75 Numbers
The 75-number game is played on a 5 by 5 card with a free square in the middle. There are seven different ways to win. On each card, only the highest win is paid. The player may choose to have 35, 45, or 55 numbers drawn. The fewer the balls, the more the player stands to win.
The online rules don't make this clear, but a double bingo must be one horizontal and one vertical bingo.
The following three tables shows the probability and return of all possible wins for 35, 45, and 55 balls respectively. The greatest return is for 55 balls at 94.87%.
75 Number Bingo — 35 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 10000 | 0.000000 | 0.000000 |
Frame | 5000 | 0.000000 | 0.002374 |
Double bingo | 20 | 0.019344 | 0.386881 |
X | 20 | 0.001395 | 0.027901 |
Single line | 2 | 0.190160 | 0.380321 |
Diagonal line | 2 | 0.061028 | 0.122056 |
Four corners | 1 | 0.018251 | 0.018251 |
Loser | 0 | 0.709821 | 0.000000 |
Total | 1.000000 | 0.937783 |
75 Number Bingo — 45 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 4000 | 0.000000 | 0.000586 |
Frame | 1500 | 0.000075 | 0.113223 |
X | 2 | 0.153967 | 0.307934 |
Double bingo | 2 | 0.012773 | 0.025545 |
Single line | 1 | 0.390984 | 0.390984 |
Diagonal line | 1 | 0.082282 | 0.082282 |
Four corners | 1 | 0.016517 | 0.016517 |
Loser | 0 | 0.343402 | 0.000000 |
Total | 1.000000 | 0.937071 |
75 Number Bingo — 55 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 25 | 0.000097 | 0.002413 |
Frame | 4 | 0.003383 | 0.013532 |
X | 1 | 0.517089 | 0.517089 |
Double bingo | 1 | 0.071540 | 0.071540 |
Single line | 1 | 0.305105 | 0.305105 |
Diagonal line | 1 | 0.035001 | 0.035001 |
Four corners | 1 | 0.004016 | 0.004016 |
Loser | 0 | 0.063769 | 0.000000 |
Total | 1.000000 | 0.948697 |
80 Numbers
The 80-number game is played on a 4 by 4 card with no free square. There are seven different ways to win. On each card, only the highest win is paid. The player may choose to have 35, 45, or 55 numbers drawn. The fewer the balls, the more the player stands to win.
The online rules don't make this clear, but a double bingo must be one horizontal and one vertical bingo.
The following three tables shows the probability and return of all possible wins for 35, 45, and 55 balls respectively. The greatest return is for 45 balls at 95.06%.
80 Number Bingo — 35 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 10000 | 0.000000 | 0.001506 |
Frame | 1000 | 0.000014 | 0.013700 |
X | 15 | 0.000812 | 0.012177 |
Double bingo | 15 | 0.028844 | 0.432660 |
Single line | 2 | 0.196763 | 0.393526 |
Diagonal line | 2 | 0.040410 | 0.080819 |
Four corners | 1 | 0.010509 | 0.010509 |
Loser | 0 | 0.722648 | 0.000000 |
Total | 1.000000 | 0.944898 |
80 Number Bingo — 45 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 1200 | 0.000024 | 0.028783 |
Frame | 400 | 0.000453 | 0.181354 |
X | 2 | 0.007412 | 0.014824 |
Double bingo | 2 | 0.150759 | 0.301518 |
Single line | 1 | 0.355155 | 0.355155 |
Diagonal line | 1 | 0.058784 | 0.058784 |
Four corners | 1 | 0.010135 | 0.010135 |
Loser | 0 | 0.417277 | 0.000000 |
Total | 1.000000 | 0.950554 |
80 Number Bingo — 55 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Coverall | 55 | 0.001104 | 0.060694 |
Frame | 5 | 0.006179 | 0.030893 |
X | 1 | 0.040900 | 0.040900 |
Double bingo | 1 | 0.424063 | 0.424063 |
Single line | 1 | 0.341052 | 0.341052 |
Diagonal line | 1 | 0.040901 | 0.040901 |
Four corners | 1 | 0.004035 | 0.004035 |
Loser | 0 | 0.141767 | 0.000000 |
Total | 1.000000 | 0.942538 |
90 Numbers
The 90-number game is played on card with nine columns and three rows. Each row is populated with five numbers . There are three different ways to win, for covering 1, 2, or 3 rows. On each card, only the highest win is paid. The player may choose to have 45, 55, or 65 numbers drawn. The fewer the balls, the more the player stands to win.
The following three tables shows the probability and return of all possible wins for 45, 55, and 65 balls respectively. The greatest return is for 55 balls at 96.62%.
90 Number Bingo — 45 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Three lines | 10000 | 0.000008 | 0.075306 |
Two lines | 275 | 0.001650 | 0.453859 |
One line | 5 | 0.080075 | 0.400373 |
Loser | 0 | 0.918268 | 0.000000 |
Total | 1.000000 | 0.929537 |
90 Number Bingo — 55 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Three lines | 1000 | 0.000260 | 0.259843 |
Two lines | 20 | 0.014559 | 0.291179 |
One line | 2 | 0.207565 | 0.415129 |
Loser | 0 | 0.777617 | 0.000000 |
Total | 1.000000 | 0.966151 |
90 Number Bingo — 65 Balls
Event | Pays | Probability | Return |
---|---|---|---|
Three lines | 50 | 0.004528 | 0.226413 |
Two lines | 4 | 0.080293 | 0.321172 |
One line | 1 | 0.389654 | 0.389654 |
Loser | 0 | 0.525525 | 0.000000 |
Total | 1.000000 | 0.937238 |
Summary
The following table shows the return of all 12 games in order of balls first and picks second.
Summary
Balls | Picks | Return |
---|---|---|
30 | 20 | 93.92% |
30 | 22 | 93.87% |
30 | 24 | 91.39% |
75 | 35 | 93.78% |
75 | 45 | 93.71% |
75 | 55 | 94.87% |
80 | 35 | 94.49% |
80 | 45 | 95.06% |
80 | 55 | 94.25% |
90 | 45 | 92.95% |
90 | 55 | 96.62% |
90 | 65 | 93.72% |
The final table shows the same information in order of return, from highest to lowest.
Summary
Balls | Picks | Return |
---|---|---|
90 | 55 | 96.62% |
80 | 45 | 95.06% |
75 | 55 | 94.87% |
80 | 35 | 94.49% |
80 | 55 | 94.25% |
30 | 20 | 93.92% |
30 | 22 | 93.87% |
75 | 35 | 93.78% |
90 | 65 | 93.72% |
75 | 45 | 93.71% |
90 | 45 | 92.95% |
30 | 24 | 91.39% |