On Sun, 8 Mar 2020 10:53:10 -0700, Cian Witherspoon
<xxxxxx@gmail.com> wrote:

>On Sat, Mar 7, 2020 at 23:29 Timothy Collinson - timothy.collinson at
>port.ac.uk (via tml list) <xxxxxx@simplelists.com> wrote:

>> And yes, math(s) challenged as I am, I'm still working out the odds of
>> Dhe.

>For which ever number you pick, that’s a 1:36 chance of winning, a 5:36
>chance of losing, and a 30:36 chance of maintaining. Over a statistically
>perfect series of 36 rounds, player vs house, with a bet of 1 unit, you
>will lose 5 and gain 9, for a net gain of 4. Once other players get
>involved... on a max of six players vs house,  a player gets kicked the
>first round 35:36 rounds (the only exception is a win on round one). The
>odds of a specific player pulling that off is 1:216, and the odds of a
>specific player getting kicked is 5:216 (betting on players in a game of
>chance is a chancy business). The. The odds tighten up as players are
>eliminated - 5 players face a win odd of 1:180, 4 players 1:144, 3 players
>1:108, and 2 players 1:72. Of course, for the overall chances of someone
>winning a round, that’s the same as 1vH - 1:36. If a Dhe round ends only by
>elimination by win or loss, the house pulls a lot of money.

Nope, (a) it's not just 6 players plus the croupier, and (b) it's 1/36 to
win, 10/36 to lose, and 25/36 "push". A "push" doesn't affect the game
either way, regardless of whether you allow retraction, change-of-number,
or let-it-ride. Each roll of the dice is separate, and independent of
history. See my separate analysis; house advantage is 10%.

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