More on useful Keno formulas. I discovered this one years ago.
Although it is useful in a mathematical sense for the calculation of theoretical gambling statistical models the player will find that in most instances you will not get as many plays as the formula suggests since it includes the lucky few who hit solid winners that skews the distribution.
The real world runs on discrete numbers. The smooth curves of calculus only simulates reality in some instances.
Our question this week is, given a $100 bankroll, a certain house percentage, and a certain priced ticket, how many games can we play before our bankroll is consumed? The answer is easily computed using the formula: Bankroll = Average games to depletion
House percentage x Amount Bet
An example: Bankroll = $500, house pc = .278 (27.8%), and betting $15 per game:
So you could theoretically play almost 120 games ($1,800 worth of tickets) on your $500 bankroll before going broke.
For those of you who do not want to do this calculation, I have provided a chart here to save you some work: PC= 25% 26% 27% 28% 29% 30%.
|
|
Bet
|
Games to Bankruptcy:
|
|||||
| • |
$1.00
|
400
|
385
|
370
|
357
|
345
|
333
|
| • |
$1.50
|
267
|
256
|
247
|
238
|
230
|
222
|
| • |
$2.00
|
200
|
192
|
185
|
179
|
172
|
167
|
| • |
$2.50
|
160
|
154
|
148
|
143
|
138
|
133
|
| • |
$3.00
|
133
|
128
|
123
|
119
|
115
|
111
|
| • |
$3.50
|
114
|
110
|
106
|
102
|
99
|
95
|
| • |
$4.00
|
100
|
96
|
93
|
89
|
86
|
83
|
| • |
$4.50
|
89
|
85
|
82
|
79
|
77
|
74
|
| • |
$5.00
|
80
|
77
|
74
|
71
|
69
|
67
|
| • |
$5.50
|
73
|
70
|
67
|
65
|
63
|
61
|
| • |
$6.00
|
67
|
64
|
62
|
60
|
57
|
56
|
| • |
$6.50
|
62
|
59
|
57
|
55
|
53
|
51
|
| • |
$7.00
|
57
|
55
|
53
|
51
|
49
|
48
|
| • |
$7.50
|
53
|
51
|
49
|
48
|
46
|
44
|
| • |
$8.00
|
50
|
48
|
46
|
45
|
43
|
42
|
| • |
$8.50
|
47
|
45
|
44
|
42
|
41
|
39
|
| • |
$9.00
|
44
|
43
|
41
|
40
|
38
|
37
|
| • |
$9.50
|
42
|
40
|
39
|
38
|
36
|
35
|
| • |
$10.00
|
40
|
38
|
37
|
36
|
34
|
33
|
It is an interesting fact that the above formula will work for any casino game. For instance, if you are playing a 25¢ video poker game with a 2% house edge, $1.25 per hand, and your bankroll is $100.00, you can expect, on average, to play 4,000 hands before going broke.
Well, that’s it for now. Good luck! I’ll see you in line! Email me at KenoLil@gmail.com
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