Rappin' Captain's Exponential Betting
Posted: Wed Dec 27, 2017 4:34 pm
Someone mentioned our old pal Sid, the late "Rappin' Captain" of craps, on another thread recently. That set me to thinking about the times I'd seen him in Tunica and Biloxi - often on a reserved table with a crew of regulars he played with - and toked very well when they caught hands. The Rappin' Captain (no relation to Scoblete's pseudo-fictitious Captain) was a proponent of what he called Exponential Betting. It's basically a Pass/Come strategy designed to be played on 20X - 100X odds games - with a Free Odds progressive betting schedule attached. For those of you who come late to the forum - here's a recap of the strategy, more or less in Sid's own words (edited for readability). Note that the Rappin' Captain played at the Green Chip level, so a base Pass Line with Odds bet on the even numbers would be $25 Pass Line plus $125 odds. On Odd Numbers the Free Odds bet would be at $120.
Here are the basic rules to follow when playing a Free Odds Exponential Betting Strategy.
Rule #1. Make a Pass Line or Come bet on every roll of the dice. This bet gives up one of the lowest house edges. If you do not make this bet you are not getting paid on the 7 or 11. These natural wins - even on a loss - reduce the house edge to 1.4%.
Rule # 2. Do NOT take odds until the second number has been established. By doing this you are taking advantage of the 2/3 disadvantage the player has on the first roll of the dice. A second roll seven would result in a draw or push in this case. By placing any other bets before this you are heading for ruin much faster and giving up a much higher house edge.
Rule # 3. When the second number has been established take 5 times odds on BOTH of the numbers you have established and every number rolled after that.
Rule #4. After each repeater press your bet by no more than 20% to 25% of the previous bet. For example - $25 odds would be pressed to $30. This way you are taking moneys off the table and putting it in your rack.
Rule #5. Always work with four or more established numbers. It takes at least two established numbers to overcome the six ways to make a 7. Remember, there are 6 ways to make a 7 for a loss. You might establish the four and nine as Come bet points on your second and third tosses. There are four ways to make a nine and three ways to make a four, for a total of 7 ways to win. So you have 7 ways to win versus 6 ways to lose. That sounds good, but typically you will need three to four repeaters to have a winning game. In a worst case scenario, you may have all six box numbers established as points without a repeater. You have huge exposure at this point. However, you'll have 24 ways to win versus 6 ways to lose, for a 4 to 1 win ratio. Just remember that one 7 wipes out the other six numbers.
Betting Progression: Here is how the betting should go. After the first repeater, press the repeating number, and only the repeating number, to 6 times odds. After the second repeater of the same number, and only the repeating number, press to 8 times odds. After the third repeater of the same number, and only the repeating number, press to 11 times odds. After the forth repeater of the same number, and only the repeating number, press to 15 times odds. After the fifth repeater of the same number, and only the repeating number, press to 20 times odds. Remain at 20 times odds until the hand ends.
As you can see for example, on the 6 and 8 worse case scenario, you will get paid on the first hit, if starting with a $25 pass or come bet with 5 times odds, $150 with $25 flat or $175 and pressing it by only $25 or going to 6 times odds you are breaking even if you don't hit a second time. But if you hit a second time you get paid $205 and pressing $50 or to 8 times odds and you racking $155. If you hit a third time you get paid $265 and pressing $75 or to 11 times odds and you racking another $190 for a total of $345. If you hit a forth time you get paid $355 and pressing $100 or to 15 times odds and you racking another $255 for a total of $600. You are just about doubling your payoff every time you have a hit.
So there you have it. Adapted for a $5 game the strategy would look like this on even numbers:
$5 PL or Come. $25 odds.
First Repeater - press to $30 odds
Second Repeater - press to $40 odds
Third Repeater - press to $55 odds
Four Repeater - press to $100 odds
At the $10 level it would look like this:
$10 PL or Come. $50 odds.
First Repeater - press to $60 odds.
Second Repeater - press to $80 odds.
Third Repeater - press to $110 odds.
Fourth Repeater - press to $200 odds.
For my own edification I've taken this out to the 100X odds level. We'll assume we have $200 odds working at the $10 base bet level.
Fifth Repeater - $350 odds.
Sixth Repeater - $440 odds.
Seventh Repeater - $575 odds.
Eighth Repeater - $760 odds.
Ninth Repeater - $1000 odds.
Nine repeaters to get to $1000 odds.
Now, for the sake of comparison, I'll look at a betting progression on the six or eight based on RC's initial starting bet on a $10 game of $60.
$60 - first hit regress to $42 and lock up $70 win plus $28 from regression. $98 off the table. $42 bet is "paid for" with zero exposure.
Second hit at $42 pays $50 for $1 - same bet - lock up $49. $147 in the rack.
Third hit pays $42 - press to $90 - lock up $1 - $148 in the rack.
Fourth hit pays $105 - toke $5 - lock up $100 - $248 in the rack.
Fifth hit pays $105 - press to $180 - lock up $15 - $263 in the rack.
Sixth hit pays $210 - lock it up - $473 profit in the rack.
Seventh hit pays $210 - drop $30 and press to $420. $443 profit in the rack.
Eighth hit pays $500 for $10 - lock it up. $933 profit in the rack.
Ninth hit pays $500 for $10 - press to $900. $10 change gets locked up. $944 profit in the rack.
Which play makes more sense? RC's play has the lower house edge by a long shot. He also has a better chance of hitting a repeater early as I tend to only Place bet the six and eight on other shooters. Honestly, I haven't taken the time to go through RC's ten dollar play from repeater one all the way up through repeater nine to see how much money he'd have off the table at that point. I'm confident from having seen his rack of green and black through the years that it would be a lot.
So there you have it. A couple of ways to play. Let's hear your opinions. And yes, I know. Dylanfreak would have a single Don't Come bet with single odds . . . and he'd probably win more than all of us. Still - it's fun to play with numbers the day after over-indulging in Christmas goodies.
Thoughts?
Here are the basic rules to follow when playing a Free Odds Exponential Betting Strategy.
Rule #1. Make a Pass Line or Come bet on every roll of the dice. This bet gives up one of the lowest house edges. If you do not make this bet you are not getting paid on the 7 or 11. These natural wins - even on a loss - reduce the house edge to 1.4%.
Rule # 2. Do NOT take odds until the second number has been established. By doing this you are taking advantage of the 2/3 disadvantage the player has on the first roll of the dice. A second roll seven would result in a draw or push in this case. By placing any other bets before this you are heading for ruin much faster and giving up a much higher house edge.
Rule # 3. When the second number has been established take 5 times odds on BOTH of the numbers you have established and every number rolled after that.
Rule #4. After each repeater press your bet by no more than 20% to 25% of the previous bet. For example - $25 odds would be pressed to $30. This way you are taking moneys off the table and putting it in your rack.
Rule #5. Always work with four or more established numbers. It takes at least two established numbers to overcome the six ways to make a 7. Remember, there are 6 ways to make a 7 for a loss. You might establish the four and nine as Come bet points on your second and third tosses. There are four ways to make a nine and three ways to make a four, for a total of 7 ways to win. So you have 7 ways to win versus 6 ways to lose. That sounds good, but typically you will need three to four repeaters to have a winning game. In a worst case scenario, you may have all six box numbers established as points without a repeater. You have huge exposure at this point. However, you'll have 24 ways to win versus 6 ways to lose, for a 4 to 1 win ratio. Just remember that one 7 wipes out the other six numbers.
Betting Progression: Here is how the betting should go. After the first repeater, press the repeating number, and only the repeating number, to 6 times odds. After the second repeater of the same number, and only the repeating number, press to 8 times odds. After the third repeater of the same number, and only the repeating number, press to 11 times odds. After the forth repeater of the same number, and only the repeating number, press to 15 times odds. After the fifth repeater of the same number, and only the repeating number, press to 20 times odds. Remain at 20 times odds until the hand ends.
As you can see for example, on the 6 and 8 worse case scenario, you will get paid on the first hit, if starting with a $25 pass or come bet with 5 times odds, $150 with $25 flat or $175 and pressing it by only $25 or going to 6 times odds you are breaking even if you don't hit a second time. But if you hit a second time you get paid $205 and pressing $50 or to 8 times odds and you racking $155. If you hit a third time you get paid $265 and pressing $75 or to 11 times odds and you racking another $190 for a total of $345. If you hit a forth time you get paid $355 and pressing $100 or to 15 times odds and you racking another $255 for a total of $600. You are just about doubling your payoff every time you have a hit.
So there you have it. Adapted for a $5 game the strategy would look like this on even numbers:
$5 PL or Come. $25 odds.
First Repeater - press to $30 odds
Second Repeater - press to $40 odds
Third Repeater - press to $55 odds
Four Repeater - press to $100 odds
At the $10 level it would look like this:
$10 PL or Come. $50 odds.
First Repeater - press to $60 odds.
Second Repeater - press to $80 odds.
Third Repeater - press to $110 odds.
Fourth Repeater - press to $200 odds.
For my own edification I've taken this out to the 100X odds level. We'll assume we have $200 odds working at the $10 base bet level.
Fifth Repeater - $350 odds.
Sixth Repeater - $440 odds.
Seventh Repeater - $575 odds.
Eighth Repeater - $760 odds.
Ninth Repeater - $1000 odds.
Nine repeaters to get to $1000 odds.
Now, for the sake of comparison, I'll look at a betting progression on the six or eight based on RC's initial starting bet on a $10 game of $60.
$60 - first hit regress to $42 and lock up $70 win plus $28 from regression. $98 off the table. $42 bet is "paid for" with zero exposure.
Second hit at $42 pays $50 for $1 - same bet - lock up $49. $147 in the rack.
Third hit pays $42 - press to $90 - lock up $1 - $148 in the rack.
Fourth hit pays $105 - toke $5 - lock up $100 - $248 in the rack.
Fifth hit pays $105 - press to $180 - lock up $15 - $263 in the rack.
Sixth hit pays $210 - lock it up - $473 profit in the rack.
Seventh hit pays $210 - drop $30 and press to $420. $443 profit in the rack.
Eighth hit pays $500 for $10 - lock it up. $933 profit in the rack.
Ninth hit pays $500 for $10 - press to $900. $10 change gets locked up. $944 profit in the rack.
Which play makes more sense? RC's play has the lower house edge by a long shot. He also has a better chance of hitting a repeater early as I tend to only Place bet the six and eight on other shooters. Honestly, I haven't taken the time to go through RC's ten dollar play from repeater one all the way up through repeater nine to see how much money he'd have off the table at that point. I'm confident from having seen his rack of green and black through the years that it would be a lot.
So there you have it. A couple of ways to play. Let's hear your opinions. And yes, I know. Dylanfreak would have a single Don't Come bet with single odds . . . and he'd probably win more than all of us. Still - it's fun to play with numbers the day after over-indulging in Christmas goodies.
Thoughts?