Is the Sacrifice Bunt Worth It? The Run Expectancy Math
Run expectancy tables show why a sacrifice bunt usually costs a team runs, and when it still makes sense: weak hitters, late and close games, and extra innings. Worked examples included.
A sacrifice bunt gives up an out to move a runner up a base. For most of baseball's history that trade was treated as plain good sense, and for the last few decades the numbers have said it usually loses. The interesting part is not the verdict but the exceptions, because the same arithmetic that condemns the bunt in the third inning with a good hitter at the plate can approve it in the ninth with a weak one.
This article explains the tool behind that arithmetic, a run expectancy table, then works through the common bunt situations with real numbers, shows how to estimate a break-even point, and ends with the cases where bunting is the better play. The table values below are illustrative figures of the kind published from recent major-league seasons, rounded to two decimals. Exact numbers shift with the era's scoring level and with the source, so use them to see the shape of the problem, not as precise constants.
What run expectancy is
Run expectancy is the average number of runs a team scores from a given situation to the end of the inning. A situation is defined by two things: which bases are occupied and how many outs there are. Eight base arrangements times three out counts gives 24 base-out states, and a table of the average runs scored after each state is a run expectancy matrix, often shortened to RE24.
The values come from counting. Take every plate appearance in a season that began with a runner on first and nobody out, add up the runs the batting team scored from that point to the end of that inning, and divide by the number of such plate appearances. The result is not a prediction for one inning but an average, which is why it can be used to compare decisions.
| Runners | 0 outs | 1 out | 2 outs |
|---|---|---|---|
| Bases empty | 0.48 | 0.25 | 0.10 |
| First | 0.86 | 0.51 | 0.22 |
| Second | 1.10 | 0.66 | 0.32 |
| Third | 1.35 | 0.95 | 0.35 |
| First and second | 1.44 | 0.88 | 0.43 |
| First and third | 1.78 | 1.13 | 0.48 |
| Second and third | 1.96 | 1.38 | 0.58 |
| Bases loaded | 2.29 | 1.55 | 0.75 |
Read the table down a column to see what a baserunner is worth: a man on first with nobody out raises the expected runs from 0.48 to 0.86. Read it across a row to see what an out costs: with a runner on first, going from no outs to one out drops the expectancy from 0.86 to 0.51. Outs are the currency of baseball, and the first thing the table shows is that they are expensive.
The price of an out, in four bunts
A successful sacrifice bunt moves the runner and takes one out. To find its cost, compare the state before the bunt with the best state after it.
| Situation | Before the bunt | After a successful bunt | Change |
|---|---|---|---|
| Runner on first, no outs | 0.86 | Runner on second, one out: 0.66 | -0.20 |
| Runner on second, no outs | 1.10 | Runner on third, one out: 0.95 | -0.15 |
| Runners on first and second, no outs | 1.44 | Runners on second and third, one out: 1.38 | -0.06 |
| Runner on first, one out | 0.51 | Runner on second, two outs: 0.32 | -0.19 |
Every row is negative. Even a perfect bunt, one that advances the runner and nothing goes wrong, lowers the expected runs. The smallest loss is with runners on first and second, where the bunt gets a runner to third at the cost of only 0.06, and that is why that situation is the one in which bunting survives most arguments.
The reason is that an out costs more than a base is worth. A runner moving from first to second helps because a single will probably score him, but a man on first with a good hitter up already has a fair chance of scoring, and the out removes the batter's chance of reaching base, which was worth something too. The average hitter reaches base about one time in three, and giving up that chance in exchange for 90 feet of base path is a bad exchange at the going rate.
A rule of thumb used by analysts is that about ten runs equal one win over a full season, so a 0.20-run loss is roughly 0.02 wins, two percentage points of win probability in a neutral situation. That is small for one decision and meaningful if a manager makes it a habit.
Why the failures matter more than the successes
The table treats the bunt as if it always works. Real bunts are less tidy. A bunt can be popped up, fouled off for a strikeout on the third strike, pushed too hard back to the pitcher so the lead runner is forced, or turned into a double play. It can also become a single when the defense is caught off guard, which is the bunt-for-a-hit case. To measure the average result you need the mix.
Take a toy model with these assumed outcomes for a bunt with a runner on first and no outs: 70 percent of the time it works as planned (runner on second, one out, 0.66); 8 percent of the time it becomes a hit (runners on first and second, no outs, 1.44); 12 percent of the time the lead runner is forced and the batter reaches (runner on first, one out, 0.51); 8 percent of the time the batter is out and the runner stays on first (0.51); and 2 percent of the time it becomes a double play (bases empty, two outs, 0.10).
Weighted together, those outcomes give an expected value of about 0.68 runs. The alternative, letting an average hitter swing, is worth 0.86. So in this example the bunt costs roughly 0.18 runs per attempt. The percentages are assumptions, not data, but the conclusion holds across a wide range of them. A better bunter helps, and so does a defense that is out of position, but neither closes a gap of nearly two-tenths of a run.
Where the bunt breaks even
Because the bunt's value is roughly 0.68 in that example, a hitter only needs to be worth less than 0.68 when swinging for the bunt to win. That is a gap of 0.18 below the average hitter, and a gap that large corresponds to a very weak hitter. In this simplified model it is the territory of the pitcher batting, for as long as pitchers batted in both leagues, and of the weakest position players on a roster. The National League adopted the designated hitter for every club in 2022, which removed the clearest case.
The break-even logic works in the other direction too. A good hitter at the plate pushes the swing value above 0.86, and the bunt becomes more wasteful. A manager who has his best hitter bunt with a runner on first and nobody out is giving up the most value for the least reward, which is why the strongest criticism of the bunt is aimed at the sacrifice in the first few innings by the top of a lineup.
Two other variables move the line. The first is the bunter's skill. Hitters who can place a bunt and who run well turn more attempts into hits, and the value of the hit outcome (1.44 with runners on first and second) is high enough that a few extra hits change the average a lot. The second is the defense. A third baseman playing back at the edge of the grass gives away part of the bunt, and a pitcher who fields poorly makes it worse.
When the bunt helps: late and close
Run expectancy answers the question "how many runs on average", and that is the right question when a team wants to maximize scoring over a long game. It is the wrong question when a team needs exactly one run. In the bottom of the ninth in a tie game, a second run is worth nothing, so what matters is the probability of scoring at least one run, not the average.
That distinction explains the general finding in published tables: the probability of scoring at least once changes less than the expected runs when a runner is bunted over, and in some situations it rises. Moving a runner from second to third with nobody out, for example, raises the chance of scoring at least once in many tables, because a runner on third can score on a fly ball, a ground ball or a wild pitch without needing a hit. Moving a runner from first to second, by contrast, does not help much by this measure, since the runner on first can already score on a double.
The practical rule is that the late-inning bunt is worth considering when three things line up: one run wins or ties the game, the runner is on second with nobody out (or on first and second), and the batter is below average. If any of the three is missing, the case weakens quickly. A good hitter in the same spot has a better chance of a hit that scores the runner and does not need the bunt.
Extra innings and the automatic runner
Since 2020 the major leagues have placed an automatic runner on second base at the start of each extra inning, a rule that was made permanent after the early seasons and was still in place as of the 2025 season. The situation it creates, a runner on second with no outs and a team that needs one run, is exactly the case where the table above and the late-and-close reasoning point toward the bunt.
The home team has a particular advantage: when it bats last in the tenth inning, one run ends the game, so the bunt to third has real value. The visiting team has a different problem, since it must score and then hold the lead, and a single run may not be enough. The same rule, then, creates different incentives in the top and bottom of an extra inning, and the best choice can differ between the halves.
The squeeze and the bunt for a hit
Two related plays follow different arithmetic.
- The squeeze play is a bunt with a runner on third, intended to score him. It requires a ball that the defense cannot field and throw home in time. The suicide squeeze has the runner break at the pitch, which maximizes the chance of scoring but leaves him dead if the batter misses; the safety squeeze has the runner wait to see the bunt first. Because a successful squeeze scores a run outright, it is judged by the probability of success, not by a table.
- The bunt for a hit is not a sacrifice. If the batter is trying to reach base, he is swinging for a different outcome, and its value depends on the batter's speed and the defense's alignment. Many bunt hits come against infields playing deep.
The official scoring rule separates the two. A sacrifice bunt is credited to the batter when, with fewer than two outs, he advances a runner with a bunt and is put out, or would have been put out but for an error. If in the scorer's judgment the batter was trying to reach base, no sacrifice is credited. A sacrifice bunt does not count as an at-bat, so it does not lower a batting average; a sacrifice fly is treated the same way.
How common the bunt has been
The historical record counts sacrifice hits, which in its early seasons can include some sacrifice flies, so compare the shape and not the decimals. Sacrifice hits per team per game, for selected seasons:
| Season | Sacrifice hits per team-game |
|---|---|
| 1920 | 1.49 |
| 1950 | 0.50 |
| 1970 | 0.42 |
| 1990 | 0.37 |
| 2010 | 0.32 |
| 2019 | 0.16 |
| 2022 | 0.08 |
| 2025 | 0.12 |
In 1920 a team averaged about one and a half sacrifices every game, which is more than four times the rate of 2010 and more than eighteen times the rate of 2022. The fall between 2010 and 2019 is consistent with the spread of run expectancy thinking in front offices, although the database cannot show the cause; the drop in 2022 coincided with the universal designated hitter, which removed the pitcher from the lineup in the National League. The figure has risen slightly since, which is consistent with the extra-inning automatic runner, although the database cannot show the cause.
A worked decision
Suppose it is the bottom of the ninth, the score is tied, nobody is out, and the batting team has a runner on second. The batter is a utility player hitting about .200. Do you bunt?
- The expected-runs table says no: 1.10 falls to 0.95.
- The question is not expected runs but probability of scoring at least once, and with a runner on third and one out the team can score on a fly ball, a ground ball or a wild pitch.
- The next hitters matter: if the following two batters are strong, the team has two chances to drive in a run from third; if they are weak, the bunt costs a base and an out and gains little.
- The defense matters: if the infield is already drawn in with a runner on third, it will be harder to score on a ground ball.
The bunt becomes reasonable only when the first three answers favor it. For the mid-game version of the same situation, in the fourth inning with a good hitter up, the answer is almost always no.
Common questions
Is the sacrifice bunt ever correct? Yes, with a weak hitter, in a late close game, when one run is the target, and especially with a runner on second and nobody out. The numbers are an argument against the habit, not against the play.
Does the bunt help more in low-scoring eras? Generally it does, because when runs are scarce each one is worth more wins, and the table shifts. The values here describe recent major-league seasons; a table built from the 1960s would favor the bunt somewhat more.
Why do managers still call it? A common explanation is tradition, and another is that the play's cost is invisible: the runner moves up where everyone can see it, while the lost scoring chance never appears in a box score.
What about the squeeze? It is judged by the odds of success, not by a table, and works best when the defense is not expecting it.
Does a double play ruin the case? Yes; a bunt that turns into a double play is the worst result, and the risk is why contact quality and the bunter's skill matter so much.
Where to go next
Run expectancy is also the tool behind the stolen base break-even point, which asks the same question about a different gamble, and the effect of the matchup on swing value appears in platoon splits and the handedness advantage. To record a bunt correctly in a score book, see how to read a baseball box score. For calculations with your own numbers, the stat calculator on this site is a good start.