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Last Updated: January 7, 2015

# 30-Ball Bingo

## Introduction

30-Ball Bingo is a bingo-based game by Rival, which provides games for Internet casinos. It is a simple bingo game played on a 3 by 3 card and with 30 balls. The player plays against the game, not other players, and is paid on the highest paying pattern he covers on each card.

## Rules

1. The player begins by choosing how many cards to play (1 to 100), the bet per card (10¢ - \$1), and the number of balls in the draw (20, 22, or 24).
2. The total amount bet may not exceed \$50.
3. The game is played on 3 by 3 bingo cards, each with nine random numbers from 1 to 30.
4. The game shall randomly choose the number of bingo balls previously specified by the player.
5. The only win is for a coverall, which pays according to the number of balls in the draw, as follows:
• 20 balls pays 80.
• 22 balls pays 27.
• 24 balls pays 10.

## Analysis

The following three tables show the probability and return for all possible events (winning and losing) for a 20-, 22-, and a 24-ball draw.

### 20 Ball Draw

Event Pays Combinations Probability Return
Coverall 80 352,716 0.011740 0.939167
Loser 0 29,692,299 0.988260 0.000000
Total   30,045,015 1.000000 0.939167

### 22 Ball Draw

Event Pays Combinations Probability Return
Coverall 27 203,490 0.034767 0.938715
Loser 0 5,649,435 0.965233 0.000000
Total   5,852,925 1.000000 0.938715

### 24 Ball Draw

Event Pays Combinations Probability Return
Coverall 10 54,264 0.091388 0.913882
Loser 0 539,511 0.908612 0.000000
Total   593,775 1.000000 0.913882

## Strategy

The following table shows the return according to the number of balls in the draw. As you can see, the greatest return is for a 20-ball draw at 93.92%. So, if you must play, choose the 20-ball draw.

Ball Draw Return
20 93.92%
22 93.87%
24 91.39%

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