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slavic
06-26-2004, 12:38 PM
Hi guys can you check my math [Yes I'm a bloody yank] on this?

Let's assume a $10 betting unit and a 7 step progression and to keep it simple we’ll use roulette and the black and red bet.

Also let’s use the standard progression.

10 20 40 80 160 320 640 Total 1270

Ok so we have 36 numbers plus the 2 zeros. So 18wins to 20 losses and as a fraction 18/38 which simplifies to 9/19 to win.

Since I’m interested in the chance to lose the progression I use 10/19

10/19 * 10/19 * 10/19 * 10/19 * 10/19 * 10/19 * 10/19 = 10000000/893871739

Converting to odds: 88.39 to 1 (break even would be 127 to 1)

(88.39 * $10) - $1270 [for one loss] = -$386.13

This seems a little worse than I would have expected.

BruceZ
06-26-2004, 03:52 PM
[ QUOTE ]
(88.39 * $10) - $1270 [for one loss] = -$386.13

This seems a little worse than I would have expected.

[/ QUOTE ]

If you're trying to figure your EV for each time you play the progression (until you win $10 or lose $1270) then that would be:

$10 * (88.39/89.39) - $1270 * (1/89.39) = -$4.31.