Do the math and measure your chances

Dec 12, 2006 12:03 AM

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

PC x Amount Bet

 

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, 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: [email protected]