Any hard way pays 4 to 1

Hello all.

I noticed a craps side bet in Macau, any hard way pays 4 to 1. Any idea what the house edge is on this bet?

Thanks

Quote: MaShuai

I noticed a craps side bet in Macau, any hard way pays 4 to 1. Any idea what the house edge is on this bet?

about time someone would come up with that one.

22 ways a 4,6, 8,10 and 7 can roll (8+8+6)

we want 4 of them, that leaves 18 no good losing rolls
4* 4/22 + -1*18/22 = 16/22 + -18/22 =
-2/22 = -1/11 =-0.0909091
just like the current hard 6 or hard 8

is 'any' better than being 'specific'?
most bet $1 on them

Your question is slightly ambiguous but there's two possible ways this bet works.

(a) Any normal hardway (4 6 8 or 10) is rolled before an easy way or 7.
The only rolls which win are 2-2 3-3 4-4 5-5 i.e. 4 rolls
The six rolls of 2 3 11 or 12 are a standoff as are the eight rolls of 5 or 9, so that leaves 22 rolls of 4 6 7 8 or 10.
So every 22 outcomes you get back 4 winners of $4+$1 i.e. $20 per $22 bet = HE 9.09%

So given the normal lousy odds US casinos offer on hard ways, not such a bad bet; but still "best to avoid".

(b) A one roll bet that the next roll will be a hardway. 6 ways to win (1-1 2-2 3-3 4-4 5-5 6-6) $4+$1 i.e. $30 per $36 bet = HE 16.67% "Avoid".

Thank you for both of your answers. Charlie Patrick, admittedly, I don’t know the exact rule. Could be a one time roll bet, could be a hard way before anything else or a 7. I will ask next time. Either way, it’s a bet to be avoided.