Betting 101

Parlay odds are not worse, they are compounded.

A parlay is one ticket built from several selections, and it pays only if every one of them wins. The prices do not add together, they multiply, which is why the payout climbs so steeply and the chance of collecting falls just as steeply. That same multiplication is where the sportsbook's margin compounds, and where one careless leg can quietly ruin a ticket that was otherwise good. This page works the arithmetic on both sides, the payout and the cost, so you can tell the two apart before you build one.

Every leg must win

One wager with several conditions

A parlay is a single wager that links two or more selections, each of which is called a leg. All of them have to win for the ticket to pay. There is no partial credit: a football spread, a basketball total, and a baseball moneyline placed as a parlay are one bet with three conditions attached, not three bets that settle independently.

The mechanism is simply that the winnings from each leg ride onto the next one. That is why the legs' decimal prices multiply, and why a parlay is not a separate product with its own odds table. It is the arithmetic of letting a stake roll forward, applied to prices that already carried the sportsbook's margin before you combined them.

Two variations use the same structure under other names. A pick'em entry on an app such as PrizePicks or Underdog is a parlay in all but vocabulary when the format requires every selection to land, although the flex formats on those same apps pay a reduced amount when one or two picks miss, which makes them a different animal. A same game parlay is a real exception, because legs drawn from a single game affect each other and the book reprices the combination rather than multiplying it. Everything below assumes legs from separate games, all of which have to win.

Fair price, offered price

Three coin flips, priced two ways

Take three legs that really are coin flips: a football spread, a basketball spread, and a baseball run line, each at the standard -110. Priced fairly, a coin flip is decimal 2.00, so the honest combined price would be 2.00 × 2.00 × 2.00, decimal 8.0, which is +700. Put the same three legs at their real -110 prices into our parlay calculator and the ticket comes back at decimal 6.958, about +596, an implied 14.4 percent against a real chance of collecting of 12.5 percent, because three coin flips land together one time in eight.

The gap between 8.0 and 6.958 is not a special parlay penalty. It is the ordinary margin you already agreed to on each leg, compounded three times. A -110 leg with no edge returns 95.45 cents on the dollar, because 1.909 multiplied by a true 50 percent chance is 0.9545. Three of those return 0.9545 × 0.9545 × 0.9545, or 0.870, so the effective hold rises from 4.55 percent on a single wager to 13.0 percent on the ticket. That 0.870 is the same number you get by dividing the ticket's true 12.5 percent chance by the 14.4 percent its price implies, which is one fact arrived at from two directions. Four legs make it 17.0 percent and five make it 20.7 percent.

That framing matters because it tells you what a parlay does and does not do to a bet. Wherever the book multiplies the leg prices, which is the ordinary case, it does not invent a new charge, it repeats the juice you were already paying. The proof is the case nobody quotes: legs priced exactly at their true chance produce a parlay priced exactly at its true chance, with no leakage at all. The exception to watch for is a book that pays from a fixed parlay table rather than by multiplying, the way retail parlay cards do, because the four and five leg rows there pay visibly less than the multiplied price, and that gap is a second charge stacked on the compounded one.

Edge compounds as well

The received wisdom is only half right

"Parlays are always a bad bet" is the standard advice, and it is wrong for a reason worth understanding. Expected value multiplies in precisely the way price does. Suppose you have three legs you genuinely make 54 percent each, all priced -110. They all land 0.54 × 0.54 × 0.54 of the time, which is 15.75 percent, at a combined 6.958. The ticket returns 0.1575 × 6.958 = 1.096, a 9.6 percent return on what you staked, against 3.1 percent if you had placed the same three opinions as singles. Real edge compounds just as reliably as margin does.

What actually ruins parlays is filler. Think of each leg as a multiplier applied to the whole ticket: a genuine 54 percent leg at -110 multiplies it by 0.54 × 1.909, or 1.031, while a coin flip at the same price multiplies it by 0.9545. Add one no-edge leg to those three good ones and the 9.6 percent return falls to 4.6 percent. A four leg ticket where only two legs are good is worse still, at 0.54 × 0.54 × 0.5 × 0.5 = 0.0729 against a combined 13.283, which returns 0.968, a 3.2 percent loss on a slip where half the selections were sound.

That is the whole trap in one line. A leg thrown on to lengthen the payout is not free, and it is not neutral either. It taxes every other leg on the ticket, and it does so at full rate no matter how strong the rest of the slip is. If you want the underlying idea in isolation, our guide to positive expected value covers why the price you take matters more than the result you get.

Building one properly

Every leg has to survive on its own

The rule follows directly from the arithmetic: if a selection would not be worth a single bet, it does not belong on a parlay. A parlay is a way to express several convictions at once. It is not a way to make one conviction pay more, and the moment you reach for a fourth leg because three does not pay enough, you have started paying for the privilege.

Shop every leg, because improvement compounds exactly the way margin does. Three legs taken at -105 instead of -110 combine to decimal 7.442 rather than 6.958, which is about 7.0 percent more return on identical opinions. That is a larger swing than most people expect from five cents of juice, and line shopping is the only part of this that requires no handicapping at all.

Then size the ticket for what it really is. Three legs at a true 54 percent collect 15.8 percent of the time, so roughly 84 tickets in 100 lose, and at that hit rate the chance of ten consecutive losing tickets is about 18 percent from any starting point. A stake that feels sensible on a single bet is usually too large for a slip that loses five or six times in a row as a matter of routine, which is what bankroll management exists to protect you from.

What the ad leaves out

The hit rate is the part nobody advertises

Every parlay promotion leads with the payout and none of them lead with how often the ticket wins. Long losing runs on parlays are not bad luck, they are the structure working as designed, and they happen to good tickets as well as bad ones. The dangerous moment is the near miss, when four legs land and the fifth does not, because that ticket feels like it was almost right when in fact it was simply a loss. If the size of the payout is doing the deciding rather than the price, read our responsible gambling guide before the next slip.

FAQ

Parlays, answered

What is a parlay bet?

A parlay is a single wager that links two or more selections together, and it pays only if every one of them wins. Because the selections settle as one ticket, a single loss sinks the whole thing no matter how the other legs finished. The appeal is the price, since each leg's decimal odds multiply rather than add.

How are parlay odds calculated?

Every leg's American price is converted to decimal form, and those decimals are multiplied together into one combined price. Three legs at -110 are decimal 1.909 each, so the ticket prices at roughly 6.958, which is about +596 in American terms. The same multiplication compounds the sportsbook's margin, which is why that 6.958 sits below the decimal 8.0 those three legs would be worth if they were priced at their true chance.

Are parlays always a bad bet?

They are not always bad, though the bar a parlay has to clear is much higher than the bar for a single wager. Expected value multiplies exactly the way price does, so a ticket built only from legs that genuinely beat their own prices carries a larger edge than the same legs bet one at a time. The catch is that each leg chosen for the payout rather than for the price taxes every other leg, and one or two of them are usually enough to turn the whole ticket negative. That is also the easiest kind of leg on any slip to add.

What happens if one leg of a parlay pushes?

A push does not sink the ticket. The leg is removed and the parlay is repriced on whatever is left, so a three leg parlay with one push settles as a two leg parlay at the shorter combined price. A voided leg, such as a player prop where the player never takes the field, is normally treated the same way.

How many legs is too many for a parlay?

There is no fixed ceiling, but the compounded margin shows where the ground gets steep. At standard pricing the effective hold is 8.9 percent on two legs, 13.0 percent on three, 17.0 percent on four, and 20.7 percent on five. The practical limit is the number of legs you can defend at their prices, because anything past that costs more than it adds.

Do parlays carry more juice than straight bets?

At a book that multiplies the leg prices together, which is the ordinary case, there is no separate parlay charge. The margin you pay is the per-leg margin compounded, so a four leg ticket built from -110 legs holds 17.0 percent against 4.55 percent on a single leg. That is about three and three quarter times as much rather than four times as much, because margin compounds instead of adding. Two cases sit outside that: same game parlays, which the book reprices as a combination, and fixed parlay tables of the sort used on retail parlay cards, where the longer rows pay visibly less than the multiplied price.

Does anyone actually make money betting parlays?

Some bettors do, and they get there by treating a ticket as a product of independent edges rather than as a lottery entry. When every leg clears its own price, the edge compounds alongside the payout, and when one leg does not, it drags every other leg down with it. The reason parlays are so profitable for sportsbooks is arithmetic rather than psychology: the compounded hold on a three to five leg ticket runs from 13.0 to 20.7 percent, against 4.55 percent on a single wager.

What is the difference between a parlay and a same game parlay?

A standard parlay combines legs from different games, so the outcomes are close to independent and the prices can simply be multiplied together. A same game parlay combines legs from one game, where the outcomes influence each other, so the sportsbook reprices the whole combination instead of multiplying it. That repricing is a different product with a different set of traps.

Check the price before you build the ticket

The parlay calculator turns any set of legs into one combined price and the break-even chance that goes with it. Our projections give you a second opinion on each leg before it earns a place on the slip.