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American Bingo by Rival Software

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Introduction

American Bingo, designed by Rival Software, is a unique bingo-style game that involves players using a 5x5 card featuring a free space. This game utilizes a total of 75 balls, and participants compete against the game's outcomes rather than against each other, receiving payouts based on the most lucrative patterns they manage to cover on their cards. Rival Players have given Tusk Casino an impressive rating of 4.3 stars out of 5.

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At the outset, players select how many cards they wish to use, ranging from 1 to 100, decide their wager per card (between 10 cents and $1), and choose how many balls will be drawn (either 35, 45, or 55).
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Rules

  1. Games are conducted with 5x5 bingo cards. The center space is designated as the 'free square' and is already marked, while the remaining 24 spaces are filled with random numbers from 1 to 75.
  2. The total amount bet may not exceed $50.
  3. The game will randomly select the specified amount of bingo balls based on the player's prior choice.
  4. The subsequent table illustrates the payout structures corresponding to the quantity of balls that are drawn.
  5. Winning possibilities for one or two lines apply only to horizontal and vertical arrangements. This would be considered a 'hard way' in a traditional Vegas bingo hall. To achieve a win with two lines, one must be vertical while the other is horizontal; however, this rule is not explicitly mentioned in the game instructions. A screenshot is included to demonstrate a card with two horizontal lines filled, yet showing a payout for only one line.

    Pay Table

    Event 35 Ball Draw 45 Ball Draw 55 Ball Draw
    Coverall 10,000 4,000 25
    Frame 5,000 1,500 4
    Double Hard Way 20 2 1
    X 20 2 1
    Single Hard Way 2 1 1
    Single Diagonal 2 1 1
    Four corners 1 1 1
  6. The next three tables provide insight into the likelihood and returns for various outcomes involved in the 35-, 45-, and 55-ball draws. Apologies for the limitation to 15 significant digits regarding the number of combinations, as this is the maximum capacity of Excel.

Analysis

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35 Ball Draw

Event Pays Combinations Probability Return
Coverall 10000 47,626,016,970 0.000000 0.000000
Frame 5000 1,397,233,875,918,200 0.000000 0.002374
Double Hard Way 20 57,283,562,595,048,800,000 0.019467 0.389337
X 20 3,743,691,587,820,400,000 0.001272 0.025445
Single Hard Way 2 559,569,139,584,055,000,000 0.190160 0.380321
Single Diagonal 2 179,582,166,099,521,000,000 0.061028 0.122056
Four corners 1 53,705,011,835,501,400,000 0.018251 0.018251
Loser 0 2,088,733,846,420,210,000,000 0.709821 0.000000
Total   2,942,618,815,403,660,000,000 1.000000 0.937783

PL The following table outlines the potential returns based on the number of balls drawn. Significantly, a 55-ball draw offers the highest return rate of 94.87%. If you have the choice, it's advantageous to opt for the 55-ball draw.

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45 Ball Draw

Event Pays Combinations Probability Return
Coverall 4000 430,759,913,983,245 0.000000 0.000586
Frame 1500 222,114,794,603,291,000 0.000075 0.113223
Double Hard Way 2 467,159,125,105,607,000,000 0.158756 0.317512
X 2 23,492,215,956,294,200,000 0.007983 0.015967
Single Hard Way 1 1,150,516,991,243,150,000,000 0.390984 0.390984
Single Diagonal 1 242,124,192,220,706,000,000 0.082282 0.082282
Four corners 1 48,603,269,059,272,700,000 0.016517 0.016517
Loser 0 1,010,500,476,264,110,000,000 0.343402 0.000000
Total   2,942,618,815,403,660,000,000 1.000000 0.937071

55 Ball Draw

Event Pays Combinations Probability Return
Coverall 25 77,535,155,627,160 0.000097 0.002413
Frame 4 2,717,027,848,243,170 0.003383 0.013532
Double Hard Way 1 460,543,806,230,750,000 0.573409 0.573409
X 1 12,224,490,989,088,800 0.015220 0.015220
Single Hard Way 1 245,050,644,309,805,000 0.305105 0.305105
Single Diagonal 1 28,111,973,699,498,400 0.035001 0.035001
Four corners 1 3,225,302,070,430,430 0.004016 0.004016
Loser 0 51,217,218,190,630,500 0.063769 0.000000
Total   803,167,998,494,073,000 1.000000 0.948697

Strategy

Understand mathematically sound strategies and insights for popular casino games like blackjack, craps, and roulette, alongside hundreds of others.

American Bingo Summary

Ball Draw Return
35 93.78%
45 93.71%
55 94.87%