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Video Bingo

Introduction





Video Bingo is a one-player bingo game by Digital Gaming Solutions, a provider of software to Internet casinos. The player is paid according to how many balls are required to cover whatever the pattern is for a given game.

Rules



Following are the rules for Video Bingo.

  1. American bingo cards are used, which are a 5 by 5 square, with numbers from 1 to 75.
  2. Some games use cards with a free square in the middle and some do not.
  3. The player may play 1 to 8 cards at 25&cent, $1, or $5 each.
  4. The game has many different target patterns, which it seems to choose randomly.
  5. The pay table shall depend on the number of marks (not including the free square) required to cover the pattern. All wins are on a "for one" basis, meaning the player does not also get his original bet back on a win, as he does in most table games.
  6. The game will draw the maximum number of balls that result in a win.
  7. The player is paid according to how many balls were needed to cover the target pattern on any given card.


9 Spot Analysis



The following table shows my analysis of all games requiring 9 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 97.01%.

9-Spot Patterns: Lucky 7, Martini, Giraffe, ¢ symbol.

9 Spot Video Bingo

Win Probability Return
5000 0.000001 0.006687
1500 0.000009 0.013610
240 0.000104 0.024841
50 0.000448 0.022413
20 0.001615 0.032299
10 0.004879 0.048785
6 0.012893 0.077356
5 0.030678 0.153388
4 0.067078 0.268313
3 0.043819 0.131456
2 0.057757 0.115513
1 0.075429 0.075429
0 0.705291 0.000000
Total 1.000000 0.970091


10 Spot Analysis



The following table shows my analysis of all games requiring 10 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 96.99%.

10-Spot Patterns: Railroad, Tree.

10 Spot Video Bingo

Win Probability Return
5000 0.000001 0.003900
1500 0.000015 0.022577
175 0.000062 0.010849
50 0.000229 0.011441
25 0.000716 0.017899
10 0.002826 0.028260
6 0.008544 0.051262
5 0.022893 0.114463
4 0.055669 0.222674
3 0.063228 0.189683
2 0.100340 0.200680
1 0.096235 0.096235
0 0.649244 0.000000
Total 1.000000 0.969923


11 Spot Analysis



The following table shows my analysis of all games requiring 11 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 97.05%.

11-Spot Patterns: Rabbit Ears, Sailboat, Airplane, Picnic Table.

11 Spot Video Bingo

Win Probability Return
5000 0.000001 0.004550
1500 0.000010 0.015364
150 0.000074 0.011104
40 0.000387 0.015472
20 0.001600 0.032007
10 0.005554 0.055537
6 0.016802 0.100812
5 0.045536 0.227681
4 0.033802 0.135209
3 0.048043 0.144128
2 0.067471 0.134941
1 0.093702 0.093702
0 0.687018 0.000000
Total 1.000000 0.970506


12 Spot Analysis



The following table shows my analysis of all games requiring 12 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 97.02%.

12-Spot Patterns: Telephone Pole, Checkers, Diamond, Moon, Trident, Percent (with free square), Scorpion, Anchor.

12 Spot Video Bingo

Win Probability Return
5000 0.000001 0.005823
1500 0.000012 0.018626
200 0.000090 0.018012
50 0.000320 0.015983
20 0.001066 0.021323
10 0.003158 0.031576
7 0.012147 0.085030
5 0.036772 0.183860
4 0.029123 0.116490
3 0.043028 0.129084
2 0.062727 0.125453
1 0.218804 0.218804
0 0.592752 0.000000
Total 1.000000 0.970065


13 Spot Analysis



The following table shows my analysis of all games requiring 13 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 96.97%.

13-Spot Patterns: Anchor, Diamond, Bullseye, Telephone Pole, Percent Symbol (without free square).

13 Spot Video Bingo

Win Probability Return
5000 0.000001 0.004730
1000 0.000011 0.010715
200 0.000083 0.016677
50 0.000315 0.015751
25 0.001114 0.027846
10 0.003492 0.034920
8 0.009912 0.079298
6 0.025884 0.155305
4 0.041876 0.167506
3 0.047019 0.141057
2 0.070700 0.141401
1 0.174518 0.174518
0 0.625074 0.000000
Total 1.000000 0.969725


14 Spot Analysis



The following table shows my analysis of all games requiring 14 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 97.06%.

14-Spot Patterns: Turtle, Top Hat, Clock.

14 Spot Video Bingo

Win Probability Return
5000 0.000001 0.007302
1000 0.000016 0.015786
200 0.000024 0.004829
100 0.000164 0.016364
50 0.000655 0.032762
20 0.002295 0.045898
10 0.004610 0.046099
8 0.023173 0.185387
4 0.035746 0.142984
3 0.042103 0.126308
2 0.111015 0.222031
1 0.124888 0.124888
0 0.655310 0.000000
Total 1.000000 0.970639


15 Spot Analysis



The following table shows my analysis of all games requiring 15 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 96.95%.

15-Spot Patterns: Layer cake.

15 Spot Video Bingo

Win Probability Return
5000 0.000001 0.007123
1500 0.000016 0.024327
500 0.000026 0.012817
200 0.000108 0.021596
100 0.000328 0.032824
30 0.001486 0.044580
15 0.005163 0.077446
8 0.016202 0.129616
5 0.030236 0.151178
3 0.064138 0.192414
2 0.076875 0.153750
1 0.121858 0.121858
0 0.683563 0.000000
Total 1.000000 0.969530


16 Spot Analysis



The following table shows my analysis of all games requiring 16 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 97.02%.

16-Spot Patterns: Shamrock, Four Stamps, Pound symbol, Outer frame, Bow tie.

16 Spot Video Bingo

Win Probability Return
5000 0.000001 0.004274
1600 0.000006 0.010394
400 0.000068 0.027311
200 0.000188 0.037619
100 0.000312 0.031214
35 0.001891 0.066198
15 0.004305 0.064574
8 0.010726 0.085806
6 0.025355 0.152130
4 0.057196 0.228783
2 0.071830 0.143660
1 0.118189 0.118189
0 0.709933 0.000000
Total 1.000000 0.970151


18 Spot Analysis



The following table shows my analysis of all games requiring 18 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 96.99%.

18-Spot Patterns: Dollar Sign

18 Spot Video Bingo

Win Probability Return
5000 0.000001 0.005929
1400 0.000010 0.013414
500 0.000066 0.032842
150 0.000112 0.016855
100 0.000257 0.025747
50 0.001061 0.053029
20 0.003199 0.063984
8 0.004968 0.039747
6 0.027994 0.167964
4 0.060275 0.241100
2 0.082273 0.164545
1 0.144775 0.144775
0 0.675009 0.000000
Total 1.000000 0.969932


20 Spot Analysis



The following table shows my analysis of all games requiring 20 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 96.99%.

20-Spot Patterns: Highway

20 Spot Video Bingo

Win Probability Return
5000 0.000001 0.005980
1000 0.000020 0.019641
400 0.000038 0.015137
150 0.000098 0.014729
100 0.000243 0.024328
50 0.001107 0.055336
25 0.001973 0.049314
10 0.007983 0.079833
5 0.023822 0.119110
3 0.066955 0.200864
2 0.099318 0.198636
1 0.186965 0.186965
0 0.611477 0.000000
Total 1.000000 0.969873


24 Spot Analysis



The following table shows my analysis of all games requiring 24 spots, not counting the free square, to cover a pattern. The bottom right cell shows a return of 97.00%.

24-Spot Patterns: Coverall

24 Spot Video Bingo

Win Probability Return
5000 0.000000 0.000732
1000 0.000005 0.004569
200 0.000026 0.005103
100 0.000066 0.006631
20 0.000195 0.003905
10 0.001107 0.011067
8 0.002363 0.018907
5 0.005961 0.029806
4 0.014500 0.058000
3 0.111880 0.335641
2 0.172301 0.344602
1 0.151055 0.151055
0 0.540541 0.000000
Total 1.000000 0.970018


Summary



The following table shows the return by the number of marks required to cover the pattern (not counting the free square). The table shows the highest return is at 97.064% on the 14-mark patterns.

Video Bingo Summary

Marks Return
9 97.009%
10 96.992%
11 97.051%
12 97.006%
13 96.973%
14 97.064%
15 96.953%
16 97.015%
18 96.993%
20 96.987%
24 97.051%