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Last Updated: December 7, 2005

# Pop Bingo

## Introduction

Pop Bingo is a game found at Internet casinos using Playtech software. The game can be found under the Arcade Games menu.

Click on image for larger version.

## Rules

1. The game will randomly give the player a bingo card with 15 numbers randomly drawn from 90 without replacement. If the player doesn't like his card he may redraw as much as he likes.
2. The player will make a bet from 10 cents to \$100.
3. The game will draw balls numbered 1 to 90 one at a time. As numbers on the player's card are drawn they will be circled.
4. The game stops when all 15 numbers on the players card have been drawn. The fewer the number of balls drawn the more the player wins.
5. 40 or less balls drawn shall pay 10000 for 1.
6. 41 to 45 balls drawn shall pay 1000 for 1.
7. 46 to 50 balls drawn shall pay 100 for 1.
8. 51 to 57 balls drawn shall pay 50 for 1.
9. 58 to 60 balls drawn shall pay 10 for 1.
10. 61 to 65 balls drawn shall pay 5 for 1.
11. 66 to 70 balls drawn shall pay 4 for 1.
12. 71 to 75 balls drawn shall pay 2.5 for 1.
13. 76 to 80 balls drawn shall pay 2 for 1.
14. 81 to 82 balls drawn shall pay 1.75 for 1.
15. 83 to 84 balls drawn shall pay 1.5 for 1.
16. 85 to 86 balls drawn shall pay 1.25 for 1.
17. 87 to 88 balls drawn shall pay 0.5 for 1.

In the screenshot above I bet \$1 and covered all 15 of my numbers in 71 draws. The 71 to 75 range pays \$2.50 for a \$1 bet.

## Analysis

The following table shows the probability and return for each possible event. The lower right cell shows a return of 97.00%.

### Pop Bingo Return Table

Draws Pays Probability Return
15 to 40 10000 0.000001 0.008784
41 to 45 1000 0.000007 0.006652
46 to 50 100 0.000042 0.004162
51 to 57 50 0.000433 0.021626
58 to 60 10 0.00068 0.006799
61 to 65 5 0.003367 0.016834
66 to 70 4 0.011226 0.044904
71 to 75 2.5 0.034032 0.085081
76 to 80 2 0.095115 0.19023
81 to 82 1.75 0.072746 0.127305
83 to 84 1.5 0.105762 0.158643
85 to 86 1.25 0.152269 0.190337
87 to 88 0.5 0.217205 0.108602
89 to 90 0 0.307116 0
Total 1 0.969958

## Disclaimer

I was hired by Playtech to help design all of their Arcade Games. I was given permission by Playtech to publish this analysis.

Written by: Michael Shackleford

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