Thanks for at least trying to understand what I was about rather than the usual knee-jerk responses .
Yes, there is a 1 in 9 chance of 4 in-a-row but only on the third spin because if the 3rd in-a-row happens there can never be 4 -in -a-row because a"treble" has won so we restart after a "treble" has occurred.
Thanks again.
Quote: scepticusJust a quick note "That Don Guy. "
Thanks for at least trying to understand what I was about rather than the usual knee-jerk responses .
Yes, there is a 1 in 9 chance of 4 in-a-row but only on the third spin because if the 3rd in-a-row happens there can never be 4 -in -a-row because a"treble" has won so we restart after a "treble" has occurred.
That's true - but by ignoring the possibility of all 4 winning, your assumption that all 4 trebles are equally likely is false.
Let's go back to the "first two spins are 1 (i.e. the first dozen)" example.
Columns 5, 6, 8, and 9 can no longer have a treble.
If the next spin is 2 (the second dozen), then column 1 is a 1-2-3 (first spin, second spin, third spin) treble.
If the next spin is 1, then the third spin is either 1 (1-3-4 column 3 treble), 2 (1-2-4 column 1 treble), or 3 (2-3-4 column 7 treble).
If the next spin is 3, then the third spin is either 1 (2-3-4 column 4 treble), 2 (1-2-4 column 1 treble), or 3 (1-3-4 column 2 treble).
The 1-2-3 treble is 50% more likely than each of the others - and you lose 2 every time the 1-2-3 treble happens.
It appears as though Scepticus doesn't comprehend what you're trying to explain to him.
@Scepticus,
The wizardofodds.com has a great section on the gambler's fallacy that all new players should read.
Quote: tilt247Wow, I guess I just love to torture myself by reading these silly posts about progression systems and how people swear by them. I say, whatever works for you do it. Life is too short to care about what other people think about your beliefs, superstitions, eating habits etc. However, most of us don't want to hear how you have this system and it works and you win etc blah blah blah. On the other side, this part of the discussion board was created for a reason... Humor I think. Moving on...
I thought this forum was used to help each other in ways of making money. If that takes turning a persons beloved betting system on it's head then I think it should be done.