callipygian said:
I'm pretty sure you're miscalculating. The Come and Pass bets are independent bets, so their house advantages don't depend on when you make the bet.
I'm pretty sure I'm not
I'm going to open your mind to something that most websites or books get into...because they all just copy each other when it comes to basic craps wager knowledge.
Let's start with this: Do you realize that both the Pass Line and Come bets are actually two-phase bets?
PHASE 1: The come out roll. At this point, there are 8 ways to win (7 or 11) vs. 4 ways to lose (2, 3, or 12) this even-money wager. Any other number rolled becomes the point number (no win or loss...Phase 2 begins). Evaluating this 8:4 (a.k.a. 2:1) ratio, you see the player has a 33.3% edge in the come out phase.
PHASE 2: The point phase. Now, the Pass or Come wager's advantage swings to the house. As you can see in my table earlier in this thread, the house's edge is either ~9% (point of 6 or 8), 20% (5 or 9), or ~33% (4 or 10). This is due to the strength of the 7 vs. the point number.
The 1.41% house edge of the Pass or Come bets are a factor of both phases. If you understand the concept of a two-phase wager, look at this common scenario:
You make a $10 Pass Line bet, a 5 is rolled, and it becomes the table's point. Now this wager is looking at a 20% disadvantage, but you take 1X Odds ($10 more) to cut that in half essentially. Now you're interested in getting a Come bet on the board, but what are the ramifications of this move?
* The Come bet will undergo the come out phase. A 2, 3, or 12 will make it a loser, while the 11 will make it a winner.
* The 7, which is the strongest number of the dice, and the key reason why the Come (or Pass) bet has a 33% edge in Phase 1 (or a relatively low overall edge of 1.4%) will now defeat your Pass Line with Odds bet.
* Therefore, the strength of the follow-up Come bet (the 7) is now neutralized...or even worse, a net loss, unless the wager is at least $20.
Now, the question is: How independent are the Pass Line and Come bets in this very common situation? They aren't. A 7 during the Come bet's come out phase is no longer a victory without doing something like a Martingale system for each subsequent volley. Once you make the 7 your enemy during a Pass or Come bet's come out like this, you're not buying yourself anything.
Just droppin some knowledge down for ya.
good luck