(165/557) for Winner 7
(392/557) for 7 out
ratio follows as
392/165=2.37576 to 1
Winner 7s only happen on the come out roll and about 29.62% (165/557) of craps rolls are come out rolls
has to do with
rolls per decision=3.375758 (557/165)
hope this helps
Thank you. That helps a lot.
My original approach was:
6/12 * 1/3 = 1/6 or 0.1667 for Blue 7 &
0.596 * 2/3 = 0.3975 for Red 7
The logic being 1/3rd of rolls ends the series on the come out roll & the shooter 7's out 59.6% for the remaining 2/3rd of the series that has a point.
That would have gotten me to 2:38 to 1 but that was just a swag. The exact answer is 2.376 per your calculations.
There is guy on another website who claims he can control dice on Aruze E-Craps and I wanted to test his claims.
He was 4 for 4 for Red 7's; with a 70.377% success rate for Red 7's, he had a P(X=>x) of 24.53%. However, he then went 4 for 4 again bringing his total to 8 for 8, thus resulting in a P(X=>x) of 6.02%, which is getting close to a level that would be evidence of non-random rolls.