PA Sands Buy Bet House Advantage Formulas

If anyone cares I have done some quick and dirty formulas on the House Advantage for the buy bets at the PA Sands on the 4, 5, 9 and 10. Since the commission is paid only on the win and they only charge you $1 per full $20 bet, it makes the equations pretty simple.

b = Amount Bet
c = Commission Paid

The 4 and 10

[(3/9)c]/b

The 5 and 9
.4c/b

Here are some quick numbers for informational purposes;

4 and 10 payout 2/1
(Units of 20 bets = 1.6667% HA)
25 Bet = 1.3333% HA
30 Bet = 1.1111% HA
35 Bet = .9524% HA
55 Bet = 1.2121% HA
75 Bet = 1.3333% HA
95 Bet = 1.4035% HA
115 Bet = 1.4492% HA
135 Bet = 1.4815% HA
155 Bet = 1.5054% HA
175 Bet = 1.5238% HA*

39 Bet = .8547% HA
59 Bet = 1.1299% HA
79 Bet = 1.2658% HA
99 Bet = 1.3468% HA
119 Bet = 1.4006% HA
139 Bet = 1.4388% HA
159 Bet = 1.4675% HA
179 Bet = 1.4898% HA
199 Bet = 1.5075% HA
219 Bet = 1.5221% HA*

5 and 9 payout 3/2
(Units of 20 = 2% HA)
30 Bet = 1.3333% HA
50 Bet = 1.6% HA*
70 Bet = 1.7143% HA*
38 Bet = 1.0526% HA
58 Bet = 1.3793% HA
78 Bet = 1.5385% HA*

* notes when the bet is worse odds than the 6 and 8 place bets

Conclusions

Well if you are a conservative player like me who only bets the numbers for extra excitement then this shows you when to take your money down or switch it to the 6 or 8. I personally play $35 on the 4 and/or 10 if I want some extra action. I will push it 20 after some wins when I feel like it. If I should be fortunate enough to get that to 155, I just take it down or leave it there without pushing further. I also won't play the numbers too tightly (for instance betting 39 on the 4 and 10 or betting 38 on the 5 and 9) in an effort to avoid attention. Its also easier on the dealers to do a 3/2 or 2/1 payout on units of 10 and 5 respectively.

Anyway, I was bored and wanted to know when to lay off of the buy bets at that casino. Figured I would share the info.