Buy and lay: when true odds are worth the commission

A buy bet is a place bet that pays true odds in exchange for a 5% fee. A lay bet is the same deal from the other side, betting that the 7 comes first. Whether either is worth it depends on which number, how much you bet, and exactly when the casino takes its cut.

What a buy bet is

A place bet on the 4 pays 9 to 5 when the true odds are 2 to 1. The casino keeps that gap as its edge. A buy bet closes the gap: you tell the dealer “buy the 4,” the dealer marks your chips with a BUY button, and if the 4 rolls before a 7 you get paid the full 2 to 1. In return the house charges a commission, called the vig or vigorish: 5% of the bet, with a minimum of $1.

Otherwise it's a place bet: wins when the number rolls, loses on a 7, stays up after a win, comes down whenever you like, off on the comeout unless you say otherwise.

The 5% works out cleanly on round amounts. Buy the 4 for $20 and the vig is $1. Buy it for $40 and it's $2. That's why buy bets are made in $20 steps, and the $1 minimum is why buying for less is a mistake, as you'll see below.

When the vig is charged changes everything

Casinos collect that commission one of two ways.

Vig up front. You put down $21 to buy the 4 for $20. The $1 is gone the moment you bet, win or lose. This is the traditional way and many casinos still do it.

Vig on the win. You put down $20. If the 4 hits, the dealer pays $40 at true odds and takes the $1 out of it, so you collect $39. If the 7 rolls, you lose $20 and pay no commission. This is how PointPuck handles it, and many Las Vegas tables do the same.

The 4 rolls 3 ways, the 7 rolls 6, so over 9 resolutions you win 3 and lose 6.

Buy the 4 for $20Won on 3 hitsLost on 6 sevensNet over 9 betsEdge
Vig on win3 × $39 = $1176 × $20 = $120−$3 on $1801.67%
Vig up front3 × $40 = $1206 × $20 = $120, plus 9 × $1 vig = $9−$9 on $1894.76%

Same bet, same payout, and the edge nearly triples, because up front you pay the dollar on the six losing bets too. At a live table, ask how the vig is charged before you buy anything.

Buy the 4, 5, 9, and 10 in $20 units. Never buy the 6 and 8.

Whether buying beats placing comes down to how bad the place bet was to begin with. The place 4 and 10 are the worst place bets on the table at 6.67%. Buying them for $20 at 1.67% is a huge improvement; even with the vig up front, 4.76% beats 6.67%. On the 4 and 10, always buy, never place, at $20 a time.

The 5 and 9 are the same story with smaller numbers. Placing them costs 4.00%. Buy the 5 for $20 and a hit pays 3 to 2, which is $30, minus the $1 vig, for $29. Over 10 resolutions the 5 rolls 4 times for $116 and the 7 rolls 6 times for $120. Down $4 on $200: 2.00%, half the place edge. (Vig up front makes it 4.76%, which is why the old live-table rule was “buy the 4 and 10, place everything else.” On PointPuck, buy the 5 and 9 too.)

The 6 and 8 are where buying stops helping. Placing them costs only 1.52%, because the 7 to 6 place payout is already a whisker under the true 6 to 5. Buy the 6 for $30 and a hit pays $36 minus the $1 vig: $35. Place the same $30 and 7 to 6 pays $35. Identical. At $60 the buy pays $72 minus $3, or $69, while the place bet pays $70, so the buy is now a dollar worse. There is no amount at which buying the 6 or 8 beats placing. Place them.

NumberPlace edgeBuy for $20, vig on winBuy, vig up frontVerdict
4 or 106.67%1.67%4.76%Buy, $20 units
5 or 94.00%2.00%4.76%Buy, $20 units
6 or 81.52%Equal to place at $30; worse below4.76%Always place

The $1 minimum kills small buys

Everything above assumes $20 units because of the minimum commission. Five percent of $5 is 25 cents, but the house won't take less than $1, and on a small buy that dollar is a far bigger bite than 5%.

Buy the 4 for $5. A hit pays 2 to 1, $10, minus the $1 minimum vig: $9. That is exactly what a $5 place bet on the 4 pays, so you've gained nothing, and the edge is the same 6.67%. Buy the 5 for $5: 3 to 2 is $7.50, floored to $7, minus $1 is $6. A $5 place bet pays $7. You've turned a 4.00% bet into a 12% one. Buy the 6 for $6: 6 to 5 is $7.20, floored to $7, minus $1 is $6, against $7 for placing. Terrible every time.

The break-even is $20, where 5% is exactly $1. Below that, place. At $20 and up, buy the 4, 5, 9, and 10.

What a lay bet is

A lay bet is a buy bet turned around: you bet that the 7 rolls before the 4. Since the 7 is the favorite, you put up the bigger side of the odds. Lay against the 4 or 10 and you risk $2 to win $1. Against the 5 or 9 it's $3 to win $2. Against the 6 or 8 it's $6 to win $5. These are the same numbers as the lay odds behind a don't pass bet, because it's the same idea: true odds, seen from the 7's side.

The 5% vig on a lay is figured on the amount you stand to win, not the amount you risk, minimum $1. Lay $40 against the 4 to win $20: the vig is $1 and a winning lay pays $19. On PointPuck that dollar comes out only when you win. If the 4 rolls, it takes your $40 with no commission.

Like place and buy bets, a lay is off on the comeout by default at PointPuck, which is worth noticing because a comeout 7 is exactly what a lay bettor wants. You can turn it on; the comeout rules article walks through the trade-off.

The lay edges are 1.67% against the 4 or 10, 2.00% against the 5 or 9, and 2.27% against the 6 or 8, and they don't have the buy's $20 threshold because the vig is figured on the win, which is smaller than the bet. Lay $40 against the 4: over 9 resolutions the 7 shows 6 times and pays $19 each for $114, while the 4 shows 3 times and costs $40 each for $120. Down $6 on $360 laid, which is 1.67%.

When a lay makes sense

Most people never lay a number, and that's fine. The reasons to do it are narrow:

The reasons not to lay are just as real. You risk a lot to win a little, so one bad roll erases several wins. Laying the 6 or 8 at 2.27% means risking $24 to net $19 while the 6 shows 5 of every 11 resolutions. That's a lot of exposure for a slim win.

Three ways to bet the 10, side by side

The same number from every angle, in normal units, on PointPuck's rules.

BetYou put downWins whenYou collectEdge
Place the 10$510 before 7$9 (9 to 5)6.67%
Buy the 10$2010 before 7$40 minus $1 vig = $391.67%
Lay the 10$407 before 10$20 minus $1 vig = $191.67%

If you only remember one thing: on the 4, 5, 9, and 10, a $20 buy is a place bet with a better price. On the 6 and 8, placing is never beaten. Below $20, the minimum vig eats the difference, so place. And a lay is what you use when you want the 7 to come and don't want to wait for the pass line to tell you where.

Buy the 4 and 10 free on the table

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