Dodgers Down 3-0 at +800: The Series Price Needs a 57% Team Every Night

The Milwaukee Brewers beat the Los Angeles Dodgers 6-2 in NLCS Game 3 on Wednesday and lead the series 3-0. ESPN lists the Dodgers at +800 to win the series and the Brewers at -1200. Game 4 is tonight at Dodger Stadium, 8 p.m. ET.

A +800 ticket pays $800 on a $100 bet. Break-even is 11.1%. Remove the vig and the market gives the Dodgers 10.7%. This article tests one question. What per-game win rate makes 10.7% fair?

The answer is 57.2%. Then you decide whether you rate the Dodgers at 57.2% or better.

The arithmetic: four straight wins

The Dodgers must win four games in a row. If they win each game with probability p, the series win rate is p to the fourth power. No other path exists. Any loss ends the series.

Start with the market. ESPN and Sports Illustrated both show the Dodgers at +800 for the comeback. ESPN pairs the Brewers at -1200.

The book keeps 3.42 points. Divide the Dodgers share by the total: 11.11 / 103.42 = 10.74%. Take the fourth root of 0.1074 and you get 0.5725.

The market prices the Dodgers as a 57.25% team in each of the four games. Here is how the series price moves with the per-game rate.

Read the table from the bottom of your own belief. A Dodgers team you rate at 55% per game is worth +993. At +800 you are paying for 57.75%. Two to three points of per-game rate move the fair price by 130 to 275 points of odds. Small disagreements about team strength produce large price gaps.

What the Game 4 prices say about the road games

Three sources posted Game 4 moneylines. They disagree by 17 points of price on the Dodgers side.

The average of the three no-vig numbers is 59.5%. Treat 59.5% as the market view of Game 4 at home.

The Dodgers play two home games and two road games if the series goes the distance. Set the two home games at 59.5% and solve for the road rate behind a 10.74% series.

• Series win rate = home rate squared times road rate squared.
• 0.595 squared = 0.354.
• 0.1074 / 0.354 = 0.3034.
• Square root of 0.3034 = 0.551.

The series price embeds a 55.1% Dodgers win rate in Milwaukee. The Brewers took three straight from them. The market still rates the Dodgers better than Milwaukee at American Family Field.

Now apply the raw break-even instead of the no-vig number. A ticket at +800 needs 11.11%. With 59.5% at home, the road rate must reach 56.0% to break even. Test your own view against 56.0%. Rate the Dodgers above 56% in Milwaukee and +800 has value. Hold them at 54% or lower and the price is short.

What 1 for 40 does and does not tell you

One team in MLB history has come back from 0-3 in a best-of-seven series. MLB.com and CBS Sports both name the 2004 Red Sox. Their counts of teams up 3-0 run from roughly 40 to 42, depending on the date of publication.

Do not read 1 in 40 as a 2.5% price. Run the coin-flip test. A pure 50% team wins four straight 6.25% of the time. Across 40 trailing teams, the expected number of comebacks is 2.5. The binomial probability of seeing 0 or 1 comeback is 27.7%. With 42 teams the figure is 25.3%.

One result in 40 sits comfortably inside what coin flips produce. History does not reject a per-game rate of 50%. History does not support 57% either. The sample is too small to price this series, and the Dodgers are one specific team facing one specific opponent. The cited tallies come from different publication dates, so treat the count as approximate.

Frederick Mosteller made the foundational point in 1952. His paper, "The World Series Competition," appeared in the Journal of the American Statistical Association, volume 47, pages 355 to 380. His subject is how often the weaker team wins a short series. Chance, the American Statistical Association's magazine, runs a related piece titled Baseball Playoffs Are a Coin Toss. A series is a noisy readout of per-game strength, and a 3-0 lead locks in the readout without changing the strength underneath.

Ben-Naim, Vazquez and Redner model each game as a fixed upset probability and estimate the probability from standings. Their 2006 paper in the Journal of Quantitative Analysis in Sports uses the same constant-rate structure applied here.

The Game 4 variable: Milwaukee has no named starter

Sports Illustrated confirms Tyler Glasnow for the Dodgers. The Brewers had not named a Game 4 starter when the preview ran. Reported options include lefty Shane Drohan, other arms, and a bullpen game.

This matters for the three prices above. Every book posted a number before Milwaukee named a pitcher. The spread from -157 to -174 reflects books pricing the same unknown differently. When the Brewers name a starter, expect the prices to move and the spread between books to narrow.

Where the value sits

• Pass the series at +800. The price needs 56.0% in Milwaukee. The market already credits the Dodgers 55.1% there at fair value. The raw break-even asks for 0.9 points more than the market view, which is the vig, and you hold no edge over the market view.
• Pass Game 4 until Milwaukee names a starter. Against the 59.5% average fair rate, the Dodgers at -157 need 61.1% to break even. The Brewers at +144 need 41.0% against a fair 40.5%. Both sides trail fair value. The Brewers side trails by half a point. The Dodgers side trails by 1.6 points.
• Shop the number. The gap between -157 and -174 is 2.4 points of break-even. This gap exceeds any edge in the series market. A bettor who must take the Dodgers should check DraftKings and FanDuel before the first pitch and take the shorter price.
• If you hold the Dodgers at 58% or higher in all four remaining games, +800 is a bet. At 58%, the series is 11.3% and +800 carries a 0.2 point edge. The edge is thin and the ticket loses 89% of the time.

Run your own number: four-game table at +800

Expected value per $100 equals the series win rate times $800, minus the loss rate times $100. The table fixes two home games and two road games and varies your view of the Dodgers.

Two rows carry the lesson. A 60% home rate with a 55% road rate loses $2.0 per $100. Move the road rate to 57% and the same bet earns $5.3. Two points on the road rate flip the sign of the bet. Road rate is the input to debate. Three books already set the Game 4 home price within a 2.4 point range.

The best row needs 62% at home and 56% on the road. A 62% home rate equals a fair price near -163, richer than the 59.5% average the three sources above support. Every positive row asks you to beat the market on the home games and on the road games together.

What would change the call

Three events move the math.

1. A Brewers starter below the usual rotation quality moves Game 4 toward 62% Dodgers or higher. At 62% a straight Dodgers bet clears the -157 break-even of 61.1%.
2. A Dodgers Game 4 win changes the series price from four required wins to three. At 57.25% per game, three straight is 18.8%, and the fair series price drops to about +433.
3. A series price on the Dodgers above +1000 puts the break-even at 9.1%. At +1000 you need 54.9% per game, below the 55.1% road rate the market implies.

Take the number you believe for Game 4. Raise the number to the fourth power. Compare the result to 11.1%. The math takes ten seconds. Your per-game rate is the only input the market does not supply.

Method and sources

Every probability here comes from American-odds conversion: a negative price converts as price / (price + 100), and a positive price converts as 100 / (price + 100). Vig removal divides each side by the total. Series math is the per-game rate raised to the number of wins required. Recompute every figure above from the posted prices.

Game 3 result and series score: ESPN and MLB.com. Prices move through the day. Verify live numbers before you bet.