PROBABILITYShot AnalysisFootball Calculator
โšฝ

Goal Scoring Probability

Estimate the probability that a shot results in a goal based on distance, angle, body part, defensive pressure, goalkeeper position, and game state. Compare to league average and get a difficulty rating.

Concept Fundamentals
eโปฮปยทฮปแต/k!
Poisson PMF
Goal distribution
ฮป = avg goals/game
Parameter
Expected goals rate
Joint Poisson model
Scoreline
Home ร— Away
Sum of probabilities
Over/Under
Betting line analysis
Calculate Shot ProbabilityUse the calculator below for pitch and football metrics

โšฝ Why This Metric Matters

Why It Matters

Scoring probability helps analysts and fans quantify chance quality. It explains why some shots are "easier" than others and why conversion rates vary.

How It's Applied

Enter distance (m), angle (ยฐ), body part, pressure level, keeper position, and game state. The model outputs probability, vs league average, and difficulty (1โ€“10).

Key Insights

  • โ—~75% of goals come from inside the box.
  • โ—Distance and angle are the strongest predictors.
  • โ—Headers convert at lower rates than foot shots.

๐Ÿ“‹ Quick Examples โ€” Click to Load

goal_prob.shCALCULATED
Probability
1.3%
vs League
-88%
Difficulty
10/10
Rating
Hard

โšฝ Football Facts

โšฝ

~75% of goals come from inside the penalty area.

๐Ÿ“Š

Penalties convert at ~76% in top leagues.

๐ŸŽฏ

Shots from 6m at 60ยฐ convert at 30โ€“40%.

Goal scoring probability depends on distance, angle, body part, defensive pressure, goalkeeper position, and game state. P(goal) = 1/(1+e^logit). ~75% of goals come from inside the penalty area. Shots from 6m at 60ยฐ convert at 30โ€“40%; from 25m at 15ยฐ, under 5%. Penalties convert at ~76%.

75%
Goals in box
11%
League avg conversion
76%
Penalty conversion
15โ€“20%
Goals from outside box

Sources: FBref, Opta, UEFA.

Key Takeaways

  • โ€ข Distance and angle are the strongest predictors; closer and wider = higher probability.
  • โ€ข Defensive pressure reduces conversion; low pressure (e.g. counter) adds +0.2 to logit.
  • โ€ข Goalkeeper position matters: far from shot adds +0.15; near post reduces โˆ’0.2.
  • โ€ข Headers convert at lower rates than foot shots from similar positions.

Did You Know?

๐Ÿ”ข ~75% of goals come from inside the penalty area.
๐Ÿ“Š Penalties convert at ~76% in top leagues.
๐Ÿ’ก Long-range goals are 15โ€“20% of all goals.
๐ŸŒ Game state affects composure: losing adds +0.1, winning โˆ’0.1.
๐Ÿ“ˆ Shots from 6m at 60ยฐ convert at 30โ€“40%.
๐ŸŽฏ Keeper positioning can swing probability by 10โ€“15%.

How Does Scoring Probability Work?

Logistic Model

logit = 0.5ร—distance โˆ’ 0.03ร—angle + pressure + keeper + gameState. P = 1/(1+e^logit). Distance hurts; angle helps.

Modifiers

Pressure: low +0.2, medium โˆ’0.3, high โˆ’0.6. Keeper: near โˆ’0.2, far +0.15. Header โˆ’0.4, other โˆ’0.2.

Difficulty Rating

1โ€“10 scale: 1 = easiest (prob โ‰ฅ 0.5), 10 = hardest (prob < 0.015). Compare to league average 11%.

Expert Tips

Create space: low pressure (counter-attacks) significantly boosts conversion vs high pressure.
Angle matters as much as distance: 6m at 30ยฐ is harder than 8m at 60ยฐ.
Keeper positioning: draw them near post to open far post, or vice versa.
Headers need perfect delivery; foot shots from similar positions convert 2ร— higher.

Probability by Zone

ZoneTypical Probability
Penalty spot (11m, 90ยฐ)~65โ€“76%
Tap-in (3m, 75ยฐ)40โ€“50%
Edge of box (18m, 25ยฐ)5โ€“8%
Long range (28m, 15ยฐ)2โ€“4%

Frequently Asked Questions

What is goal scoring probability?

The probability that a shot from a given position and context results in a goal. Factors include distance, angle, body part, defensive pressure, goalkeeper position, and game state. ~75% of goals come from inside the penalty area.

How does distance affect scoring probability?

Distance is the strongest predictor. Shots from 6m at a wide angle convert at 30โ€“40%; from 25m at a narrow angle, under 5%. Each meter further reduces probability in the logistic model.

What is shot difficulty rating?

A 1โ€“10 scale where 1 = easiest (e.g. tap-in, penalty) and 10 = hardest (long range, narrow angle, high pressure). Based on the computed probability vs league average.

How does goalkeeper position matter?

Keeper near post reduces probability (โˆ’0.2); keeper far from shot adds +0.15 (open goal). Center position is baseline. Goalkeeper positioning is a key xG factor in advanced models.

What is league average conversion rate?

Top leagues average ~11% conversion (shots to goals). Penalties convert at ~76%. Chances inside 6m can exceed 40%. The calculator compares your shot to this 11% baseline.

Do headers have lower probability?

Yes. Headers typically convert at lower rates than foot shots from similar positions. The model applies a โˆ’0.4 modifier for headers due to reduced control and power.

Key Statistics

75%
Goals in box
11%
League avg
76%
Penalty
1โ€“10
Difficulty scale

Official Data Sources

โš ๏ธ Disclaimer: This calculator is for educational purposes only. Scoring probability models vary by provider. This is a simplified model. Not financial or betting advice.

For educational and informational purposes only. Verify with a qualified professional.

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