Betting on zero and double-zero (or including those numbers in a combination bet) doesn’t change the situation. There is no system, no method, no pattern for playing roulette that will prevent the game from extracting a house edge of 5.26 percent on a double-zero wheel.
There are only two exceptions to this mathematic tenet, bias and rule changes (such as playing a single-zero wheel). We’ll cover both tactics later in this chapter, but right now let’s examine why most roulette betting schemes don’t work.
A straight bet obviously has more risk and offers more reward per spin than a bet that pays 1:1, but both bets cost exactly the same over time. That’s the roulette paradox.
People who spread chips around the table lose at the same long-term rate as those who bet single numbers or groups. The adjacent table shows why. Betting multiple chips on a combination is identical to dividing the bet on individual numbers. For example, $10 split between eleven and fourteen will return the same amount as $5 straight up on eleven and $5 straight up on fourteen. This is true for all combinations.
Multiple Straight Bets vs. Combination Bets
Numbers
|
11 & 14
|
4,5,6
|
19,20,22,23
|
7-12
|
19-36
|
Straight bets
|
2
|
3
|
4
|
6
|
18
|
Win Amount |
35
|
35
|
35
|
35
|
35
|
Losing bets |
-1
|
-2
|
-3
|
-5
|
-17
|
Net total after win
|
34
|
33
|
32
|
30
|
18
|
|
|
|
|
|
|
Combination Bets
|
2 chips split |
3 chips street |
4 chips box
|
6 chips on two rows |
18 chips on high |
Win
|
34
|
33
|
32
|
30
|
18
|
Losing bets |
0
|
0
|
0
|
0
|
0
|
Total after win
|
34
|
33
|
32
|
30
|
18
|
Putting multiple chips on a combination bet returns the same amount as splitting the wager and betting each number individually.
There’s nothing wrong with spreading bets around, but there’s nothing right about it. In the long run it doesn’t make any difference.
Similarly, betting $10 on a single number may seem riskier and more expensive than betting $10 on red, but both bets cost the same in the long run. The table labeled “Straight Bets vs. Outside Bets” shows the results from 380 decisions when there is an exactly average outcome.
Straight Bets vs. Outside Bets
Straight bets pay 35:1 |
|
$10 wagers
|
Total Decisions
|
380
|
|
Wins
|
10
|
$3,500
|
Losses
|
370
|
$3,700
|
Net Result
|
|
-$200
|
Outside bets pay 1:1 |
|
$10 wagers
|
Total decisions |
380
|
|
Wins
|
180
|
$1,800
|
Losses
|
200
|
$2,000
|
Net Result |
|
-$200
|
Straight bets and outside bets have the same long-term cost.
These numbers reflect average results after approximately eight hours of play.
Of course, results are rarely exactly average. That’s the lure and the heartbreak of roulette. Normal streaks of winning and losing make some people think that particular bets or combinations of bets win more than others. Indeed, some bets do win more frequently, but they’re all equal when it comes to the house edge.
The preceding material is a portion of what you'll find in Basil Nestor's Unofficial Guide to Casino Gambling.
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