Everyone knows that the HE for a pass line bet is 1.41 and for placing the 6/8 is 1.52. What is not realized is that the above numbers take into account the resolution of the bet, i.e. either the number is rolled or the 7 is rolled. There is also a HE that is calculated per roll. For the PL, it is 0.42 and for the 6/8 it is 0.46. Looking at the whole picture, it seems that the PL enjoys a slightly less HE then placing the 6/8, but is this really the case? The reason that I say this is because the PL is a contract bet. Once the initial comeout roll is done, that bet cannot be removed and must be resolved. This is not the case for the 6/8. Even though placing these numbers carry a higher HE, we can remove it at anytime, thus bringing into play the "HE per roll." On the average, a bet is resolved in 6 rolls (a 7 rolls 1/6 times). Hypothetically if we were to remove the place bet prior to 6 rolls every time, then that bet should have less exposure to the 7 then the PL bet. If we were to calculate the HE of both bets (PL and place), taking into account the fact that the PL is "hypothetically and mathematically" resolved after 6 rolls and that we will remove the place bet after 4 rolls every time, does that change the HE enough to favor the place bet over the PL. Honestly I don't know because I am not good enough to make those calculations. What I do see is there are many crap players who will place bet but only for X rolls prior to removing them, and they do this on every player. Obviously they will miss the hot rolls but they feel that with less exposure to the 7, their bankrolls tend to last longer.