Please help me understand where I am going wrong.
In Sic Bo (and Chuck-a-Luck), three dice are rolled and for each result that comes up, players who placed bets on those individual numbers (1-6) get a payout according to how often that number came up on the three dice.
One result is 1:1
Two is 2:1
Three is 3:1
Some tables offer payouts as high as 12:1 for triples. Because the odds of triples is so low, the house edge is maintained.
But what if you placed $10 on every number (1-6). Then on every result you are breaking even, since you’re guaranteed to win on three of your bets and lose on the other three. But in the event of triples, you are gaining a massive 12:1 payout.
How is the house edge maintained given this work around? It seems like tables which offer higher than 3:1 odds for triples on the “one of a kind” (Wizard of odds calls it the any one number bet) cannot also allow you to bet on all six numbers.
Thanks in advance for your help so I don’t break the bank trying this in the real world.
Quote: Montross300Hey everyone,
Please help me understand where I am going wrong.
In Sic Bo (and Chuck-a-Luck), three dice are rolled and for each result that comes up, players who placed bets on those individual numbers (1-6) get a payout according to how often that number came up on the three dice.
One result is 1:1
Two is 2:1
Three is 3:1
Some tables offer payouts as high as 12:1 for triples. Because the odds of triples is so low, the house edge is maintained.
But what if you placed $10 on every number (1-6). Then on every result you are breaking even, since you’re guaranteed to win on three of your bets and lose on the other three. But in the event of triples, you are gaining a massive 12:1 payout.
How is the house edge maintained given this work around? It seems like tables which offer higher than 3:1 odds for triples on the “one of a kind” (Wizard of odds calls it the any one number bet) cannot also allow you to bet on all six numbers.
Thanks in advance for your help so I don’t break the bank trying this in the real world.
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You aren't guaranteed to win on three of your singles bets.
If the dice has a double say, 2,2,3 then you win $30 ($10 on the 3 and $20 on the double two,) however you lose $40 ($10 apiece )on the 1, 4, 5 ,6.
Of the 216 possible rolls:
120 have three different numbers - you win $30 on the three numbers that came up, and lose $30 on the three that do not, so you break even.
90 have a pair and a third number - you win $20 on the pair, win $10 on the third number, and lose $40 on the four numbers you did not roll, so you lose $10
6 are three of a kind - you win $120 for that number, and lose $50 on the five numbers you did not roll, so you win $70.
Over 216 rolls, the expected return is 120 x 0 + 90 x (-10) + 6 x 70 = -480.
If three of a kind pays N-1, then you lose 900 on the pairs and gain 6N on the threes of a kind, so any odds less than 15-1 result in a positive house edge.
He listened as I described my foolproof system, and then he drove a hole into all my assumptions. I privately decided he should stick to banking and went back to AC. The next session, I was up a few hundred when a bad run wiped me out. I decided I was underfunded, so I returned the next week with three times the bankroll. Two very choppy sessions and a very bad one followed.
I'd written about my system on the WOO, and a few people thought I might be on to something until someone brought up the same points my Uncle made, and then Mr. Wizard weighed in and settled it. It turns out it works well most of the time, but it didn't overcome the house edge. It was a learning experience: past performance doesn't matter on independent rolls, but it does in blackjack. That set me on an interesting detour in life.
The breakdown of all the outcomes and EV was also very nice. I really wish I was better at math. It's so fascinating, but not intuitive to me at all.
Very cool community here, I never expected such a quick answer let alone the handful of answers I got.

