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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.
Rules
- 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.
- The player will make a bet from 10 cents to $100.
- 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.
- 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.
- 40 or less balls drawn shall pay 10000 for 1.
- 41 to 45 balls drawn shall pay 1000 for 1.
- 46 to 50 balls drawn shall pay 100 for 1.
- 51 to 57 balls drawn shall pay 50 for 1.
- 58 to 60 balls drawn shall pay 10 for 1.
- 61 to 65 balls drawn shall pay 5 for 1.
- 66 to 70 balls drawn shall pay 4 for 1.
- 71 to 75 balls drawn shall pay 2.5 for 1.
- 76 to 80 balls drawn shall pay 2 for 1.
- 81 to 82 balls drawn shall pay 1.75 for 1.
- 83 to 84 balls drawn shall pay 1.5 for 1.
- 85 to 86 balls drawn shall pay 1.25 for 1.
- 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.