Implied Run Total Calculator
Implied run totals turn betting odds into expected scores. In baseball, the moneyline and the game total imply how many runs each team should score. In cricket, the current run rate implies the final total. And on any over/under line, the two sides’ odds imply where the market sits once the bookmaker’s vig is stripped out. The calculator below covers all three jobs, and the article is upfront about where its models are exact arithmetic and where a named statistical model, the Poisson model in Over/Under mode, does the work.
Enter the underdog line as a positive number (140 for +140). The calculator removes the vig so both implied totals add back to the game total.
Quick Answer
A game total of 8.5 runs with a -160 favorite and a +140 underdog splits into 5.07 implied runs for the favorite and 3.43 for the underdog once the vig is removed. The same page projects a cricket innings (78 runs in 10 overs 4 balls becomes 146.25 in a 20-over innings) and fits a Poisson model to over/under odds, after one of three vig-removal methods, to derive a fair total. Each tab is pre-filled with its worked example.
Key takeaways
- MLB mode removes the vig before splitting the total, so the two implied team totals always add back to the posted game total exactly.
- The cricket projection is pure run rate held constant: honest arithmetic, blind to wickets, pitch wear and death-overs acceleration.
- Proportional vig removal rescales each side by the same factor so the pair sums to exactly 100 percent: it is the standard normalisation, offered alongside the genuinely different additive and no-removal settings.
- The Over/Under implied total is a fair total derived from a Poisson model: the mean total whose probability of clearing the posted line equals the no-vig over probability. The answer depends on that chosen distribution, so treat its value verdicts as a prompt to look closer, not as an edge by themselves.
How to use the implied run total calculator
Choose the tab for your sport or market, check the pre-filled example, then swap in your own line. One Calculate button serves all three tabs, and switching tabs hides the previous result.
- MLB Team Totals: enter the favorite moneyline (negative), the underdog moneyline (positive) and the game total. You get both no-vig win probabilities, the moneyline vig, each team’s implied runs, and a check row proving the split sums to the total.
- Cricket Projection: enter runs scored, completed overs, balls in the current over (0 to 5, blank counts as 0) and the innings length. You get overs in decimal, the current run rate, and the projected innings total.
- Over/Under Edge: pick the market label, enter the posted total and both sides’ odds from the same book, then choose a vig-removal method. Both odds must be valid American odds (-100 or lower, or +100 or higher); odds of 0 and anything between -99 and +99 are rejected with an error and no verdict is printed. The result shows no-vig probabilities, the implied fair total from the Poisson model, the vig, a value verdict and a short market analysis. If the two prices come from different books and you are comparing them for an arbitrage, the arbitrage percentage calculator is the right tool for that separate job.
- Copy or share from the results box: the shared text restates the line and the mode, so the numbers keep their context.
The formulas, mode by mode
Each mode converts its inputs in two steps: turn what you entered into a probability or a rate, then turn that into runs. The conversions below are the exact ones the code runs.
No-vig probability = Raw probability ÷ Sum of both raw probabilities
MLB implied team runs = No-vig win probability × Game total
Cricket projected total = (Runs scored ÷ Overs played in decimals) × Total overs, with overs = completed overs + balls ÷ 6
Over/Under fair total (Poisson model) = the mean λ of a Poisson distribution fitted so that P(total runs > posted line) under Poisson(λ) equals the no-vig over probability. At a whole-number line, a total exactly on the line is a push and is excluded before the probabilities are compared, so the fitted probability is P(over) ÷ (P(over) + P(under))
The vig exists because raw implied probabilities sum past 100 percent: -160 and +140 imply 61.54% and 41.67%, a total of 103.21%, and the extra 3.21% is the bookmaker’s margin on that market. Dividing each side by the sum, the proportional method documented by the UNLV International Gaming Institute’s wider work on gambling mathematics and used across the odds industry, rescales the pair to exactly 100%. The terminology in this article follows the MLB glossary for baseball terms and the MCC Laws of Cricket for overs and innings: an over is six balls, which is why the balls field stops at 5.
The Poisson model is named on purpose: the fair total you get depends on the distribution you choose. A Poisson distribution for total runs has its variance equal to its mean, and it is the standard first model for counts of scoring events. A different distribution fitted to the same no-vig over probability would return a different fair total, so read the Poisson figure as a model-based fair line, not as a distribution-free fact.
Worked examples for all three modes
Every figure below is the calculator’s own output for the pre-filled inputs, verified against the tool. Run any tab unchanged and you should see the same numbers.
| Mode | Inputs | Headline result |
|---|---|---|
| MLB | Favorite -160, underdog +140, total 8.5 | Favorite 5.07, underdog 3.43 |
| MLB | Favorite -200, underdog +170, total 9.0 | Favorite 5.79, underdog 3.21 |
| Cricket | 78 runs, 10 overs 4 balls, 20-over innings | Projected 146.25 |
| Cricket | 200 runs, 35 overs 3 balls, 50-over innings | Projected 281.69 |
| Over/Under | Posted 8.5, over -110, under -110, proportional | Implied 8.7 (Poisson model), Fair Market Value |
The MLB worked example, step by step: raw probabilities are 160 ÷ 260 = 61.54% and 100 ÷ 240 = 41.67%. Normalised, they become 59.63% and 40.37% (the tool rounds to two decimals). Multiply by 8.5 and the split is 5.07 and 3.43, summing to 8.50. The visual split of that same total:
The cricket worked example: 10 overs and 4 balls is 10 + 4 ÷ 6 = 10.67 overs; 78 ÷ 10.67 = 7.31 per over; 7.31 × 20 overs = 146.25 runs. The Over/Under worked example is the balanced book: at -110 both sides the no-vig probabilities are 50.00% each, the vig is 4.76%, and the Poisson model fits a fair total of 8.7 (8.67 before rounding). That fitted mean sits above the 8.5 line because, for a Poisson distribution, the mean sits above the median: the mean that clears 8.5 exactly half the time is higher than 8.5 itself. The gap is under 0.2 runs, so the verdict is Fair Market Value.
The three vig-removal settings, compared honestly
Each of the three settings genuinely differs. On an asymmetric line (posted 8.5, over -130, under +110) the tool returns:
| Method | Over (no-vig) | Under (no-vig) | Implied total |
|---|---|---|---|
| Proportional | 54.27% | 45.73% | 9.0 |
| Additive | 54.45% | 45.55% | 9.0 |
| No vig removal | 56.52% | 47.62% | 9.2 |
Proportional divides each raw probability by their sum (equivalently, it multiplies each by 100 divided by the same sum), which rescales the pair to exactly 100 percent. Additive is the genuinely different choice: it subtracts half the vig from each side, which loads relatively more of the correction onto the longer-priced side. No removal keeps the raw pair, useful only for seeing the size of the margin itself. The implied totals in that table are Poisson-model fair totals shown to one decimal; before rounding they are 8.99 for proportional, 9.00 for additive and 9.16 for no removal. Whichever method you pick, the stake sizing question that follows a flagged edge belongs to bankroll tools such as the betting ladder calculator, not to this page.
What these models cannot see
Three limits are built into the tools on this page. Knowing them is the difference between using an implied total and being used by one.
- Win probability is not a run share. MLB mode splits the game total in proportion to no-vig win probability, the standard shortcut for this calculation. A team priced to win 64% of the time is not thereby expected to score 64% of the runs; scoring depends on the run distribution, not just who wins. Treat the split as a fast market read, and treat a sportsbook’s directly posted team total as the cleaner market reference when one exists.
- The Over/Under fair total depends on the Poisson model. The tool fits a Poisson distribution for total runs, and a different distribution would give a different fair total from the same odds. Poisson also forces the variance to equal the mean, while real run totals can be more spread out than that. The model is named on the result so the assumption is visible, and the value verdicts (Minor Edge Detected, Moderate Value Present, High Value Opportunity) still fire at fixed gaps of 0.2, 0.5 and 1.0 runs from the posted line. A flagged gap says the two prices lean under this model; it does not say the lean is wrong.
- Over/Under odds are validated, and whole-number totals can push. Odds of 0 and anything between -99 and +99 are rejected with an error and no verdict, matching the valid American odds range (-100 or lower, or +100 or higher). At a posted total such as 9.0, a game landing exactly on the line is a push: the Poisson fit excludes the probability mass on exactly the line and compares the over probability after conditioning on the bet being decided. At half-run lines there is no push. The vig is also floored at zero: if a pair of prices sums under 100 percent, the tool shows 0.00% vig rather than a negative margin.
- Cricket ignores wickets and rain. The projection holds the current rate flat. A side 78 for 1 and a side 78 for 6 project identically here, and rain-shortened chases are settled by the Duckworth-Lewis-Stern method, not by run rate, so this tab is for uninterrupted innings.
One comparison settles how to use the outputs. If a book posts a team total directly, that line was set by traders pricing that team’s scoring, and it deserves more weight than a probability split of the game total. If no team total is posted, the implied split is a reasonable first estimate for DFS stacking and for spotting a game total that looks mispriced against its own moneyline. Used that way, as a cross-check rather than an oracle, the tool earns its place. And one boundary that is not negotiable: no output on this page changes the maths of gambling, so bet only what you can afford to lose; the National Council on Problem Gambling help resources and the AGA’s Have A Game Plan campaign exist for anyone who needs them.
What competing calculators miss
The rival pages for this keyword each do part of the job. Checked against the live tools and explainers in October 2026:
- CalculatorsHub: the nearest like-for-like tool, MLB only, and its no-vig normalisation matches this page’s. Its reference table, though, prints a -120 / +110 row whose stated true probabilities (52.17% and 47.83%) do not follow from its own raw probabilities, and it offers nothing for cricket or for totals markets.
- Brave Calculator: under this exact name it is a cricket-only projection. Fine arithmetic, one sport, no odds work at all, so the baseball intent behind the keyword goes unanswered.
- iGaming.org (explainer, no tool): defines a team’s implied total as the game total minus the opponent’s implied total, which is circular: it assumes the very number it claims to derive.
- TeamTotals: the sharpest critique in the space, and this article agrees with it: win probability and run share are different quantities. But it stops at the critique and gives you nothing to compute with; this page gives you the standard shortcut with the limitation printed next to it.
- Dedicated no-vig calculators (OddsJam class): excellent at fair odds, several methods deep, but they end at probabilities. None converts back into team runs, projects a cricket innings, or stress-tests a totals line.
- The gap this page fills: all three jobs on one page, a check row proving the split sums to the total, three vig settings that each do something genuinely different, and the Poisson model behind the implied total named in the open, with its distribution caveat stated alongside it.
Frequently asked questions
The number of runs the betting market expects a team to score, derived from the moneyline and the game total. It prices in the starting pitchers, lineups, park, and weather as the market sees them.
Bookmaker odds include a margin, so raw implied probabilities sum past 100%. Normalizing them back to 100% gives each side’s fair probability before converting to runs.
No. It is the standard shortcut for this calculation, not a run-scoring model. A team’s share of wins is not the same as its share of runs, so read the split as a fast market estimate and prefer a directly posted team total when a sportsbook offers one.
DFS players commonly build stacks around the teams with the highest implied totals on a slate, and a team implied below roughly 4 runs is usually left alone. Use the number to rank teams against each other on the same slate rather than as an absolute promise, and check lineups, park and weather before locking a stack.
Current run rate times total overs. Equivalently, current run rate times the overs remaining, added to runs already scored; both routes give the same figure. It assumes the scoring rate holds, which ignores wickets, pitch deterioration, and death-overs acceleration.
Proportional scales each side’s raw probability down by the same factor so the pair sums to 100%. Additive subtracts half the vig from each side, and no removal leaves the raw probabilities untouched so you can see the margin itself.
It is the fair total from a Poisson model: the mean of a Poisson distribution for total runs whose probability of clearing the posted line equals the no-vig over probability. At a whole-number line, a result exactly on the line is a push and is excluded before the comparison. The answer depends on the chosen distribution, so use the gap as a prompt to investigate the line rather than as proof of value.
American odds of 0, and anything between -99 and +99, are not valid prices a book can quote. Enter -100 or lower, or +100 or higher, for both the over and the under; the tool shows an error and prints no verdict until both odds are in the valid range.
No. The flag measures disagreement between the line and the no-vig probabilities, not a prediction. Use it as one input alongside your own research, and never bet more than you can afford to lose.
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References
- Marylebone Cricket Club. The Laws of Cricket. Accessed October 22, 2026.
- MLB Advanced Media. MLB Glossary. Accessed October 22, 2026.
- University of Nevada, Las Vegas, International Gaming Institute. International Gaming Institute Research. Accessed October 22, 2026.
- National Council on Problem Gambling. Help and Treatment Resources. Accessed October 22, 2026.
- American Gaming Association. Supporting the Legal Sports Betting Market. Accessed October 22, 2026.
- National Institute of Standards and Technology. Poisson Distribution, NIST/SEMATECH e-Handbook of Statistical Methods. Accessed October 24, 2026.