The reason you can push the house on a three-unit bet is similar to what CIII said for the breakage allowed on the 6/8 for double odds.

When there were $1 single odds tables a three-unit bet would be $3. They could not pay off the odds properly on the 5/9 and 6/8 without using change. $3 odds on the 5/9 would pay $4.50 and on the 6/8 would pay $3.60. So the house allowed you to put $4 in odds on the 5/9 and $5 on the 6/8. Then the payoff would be $6 in both cases, the same as $3 odds on the 4/10. It just happens to work out the payoff is the same on all the point numbers. The primary reason was to avoid the payoff in change issue not necessarily to have all the same payoff. That was just an added bonus that helps the dealers on pay outs.

They followed the same principle on a three-unit bet for units of 5,10,25,50,100,250, etc. In these cases your three-unit line bet would be 15,30,75,150,300,750, etc.

Then if it is 1X, 2X or 5X odds table, all three-unit bets work off the 3/4/5 principle. At 2X this becomes 6/8/10 and at 5X this becomes 15/20/25 times the single unit of your three-unit bet.

For example, with a $15 line bet at 5X odds you can take $75/$100/$125 in odds behind 4/10 5/9 6/8 respectively. $15 is a three-unit bet of the $5 unit. The single unit $5 times 15/20/25 gives you the odds you can take. Just think of the single unit of your three-unit bet on the 3/4/5 basis. Then multiply that number times the odds allowed at the table, be they 1X, 2X or 5X.

If I have not thoroughly confused you by this point let me try to do it with this next situation. It has to do with a $60 line bet.

To understand the odds for this bet lets go back to the $1 minimum single odds table. $6 odds pays evenly on the 4/10 ($12) and 5/9 ($9), but not on the 6/8 ($7.20). So they allow you to put $10 odds on the 6/8 (pays $12) for this six-unit bet.

For some reason which I do not understand, the $60 line bet is treated as a six-unit bet of a $10 unit rather than a three-unit bet of $20. You would be allowed to place $100, $200 or $500 in odds behind a $60 line bet on the 6/8 at 1X, 2X or 5X odds respectively. But you could not put more than allowed by the odds on the 4/10 and 5/9.

I have found that at 20X odds or greater you are not allowed to take more than those max odds. They do not give any breakage on three-unit or six-unit bets.

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