Our engine ran 10,000 Monte Carlo plate appearances of Bryce Harper against Zack Wheeler at Citizens Bank Park. It gives a 19.8% probability of a hit per plate appearance, with 29.2% strikeouts, 11.0% walks and 4.0% home runs per PA. Average simulated length: 3.38 pitches per plate appearance. No raw head-to-head rate drives any of these numbers; the inputs are regressed multi-season rates for both players (methodology below).
| Outcome | Sim probability | Rate |
|---|---|---|
| Walk | 11.0% | |
| Strikeout | 29.2% | |
| Hit by pitch | 0.6% | |
| Single | 11.8% | |
| Double | 3.8% | |
| Triple | 0.3% | |
| Home run | 4.0% | |
| Batted-ball out | 39.4% |
Where the simulated plate appearances ended, and the hit probability conditioned on that count.
| Count | PA ends here | P(hit) at count | K / BB |
|---|---|---|---|
| 0-0 | 12.8% | 32.8% | |
| 1-3 | 11.6% | 0.0% | |
| 0-1 | 11.0% | 35.2% | |
| 0-3 | 10.9% | 0.0% | |
| 1-1 | 8.0% | 32.6% | |
| 1-2 | 7.2% | 30.2% | |
| 2-3 | 6.8% | 0.0% | |
| 1-0 | 5.3% | 33.1% | |
| 0-2 | 5.2% | 31.5% |
Career line: 45 PA, 8 hits (2 HR), 5 BB, 16 SO. .205 AVG / .648 OPS. Statcast-era pitch log: 34 PA across 3 seasons (2017–2019).
| Season | PA | H | HR | BB | SO | OPS |
|---|---|---|---|---|---|---|
| 2013 | 6 | 1 | 0 | 1 | 2 | .533 |
| 2014 | 8 | 2 | 1 | 0 | 4 | .875 |
| 2017 | 6 | 1 | 0 | 0 | 3 | .334 |
| 2018 | 10 | 1 | 0 | 2 | 2 | .443 |
| 2019 | 15 | 3 | 1 | 2 | 5 | .795 |
Read rate: 45 career PA is 0.1% of one full batter season. One extra dropped popup changes the career average by 2.6 points.
Re-running the same 10,000 simulated PAs with Citizens Bank Park's factors (hit 1.03x, home run 1.12x) moves the hit probability from 18.8% in a neutral park to 19.8%, a +1-point move.
Zack Wheeler's 2026 pitch mix (24,765 pitches tracked).
| Pitch | Usage | Avg velo | Whiff / swing |
|---|---|---|---|
| Four-Seam Fastball | 39.7% | 96 mph | |
| Sinker | 19.4% | 96 mph | |
| Cutter | 16.6% | 91 mph | |
| Curveball | 10.5% | 81 mph | |
| Sweeper | 6.7% | 84 mph | |
| Split-Finger | 4.6% | 87 mph | |
| Changeup | 2.6% | 89 mph |
| Pitch | PA | H | K | Whiff / swing |
|---|---|---|---|---|
| Four-Seam Fastball | 10 | 2 | 4 | 0% |
| Sinker | 7 | 1 | 2 | 0% |
| Cutter | 3 | 1 | 0 | 0% |
| Changeup | 6 | 1 | 2 | 0% |
| Curveball | 4 | 0 | 1 | 0% |
| UN | 3 | 2 | 0 | 0% |
Inputs: Bryce Harper's and Zack Wheeler's last-three-season lines (3870 PA / 3892 BF weighted 1x/2x/3x by recency), shrunk toward league average, blended with a log5 odds-ratio matchup model, conditioned on real league count-level pitch and batted-ball frequencies, and park-adjusted with committed park factors. The count process is calibrated per pair so simulated strikeout and walk rates land within 0.3% of the model targets (this page: 0.05% K error,0.03% BB error).
Head-to-head history never enters the simulation; a batter-pitcher pair shares a few dozen career PAs at most, and honesty means the model's priors are the players' own multi-season tendencies, not a 30-PA fluke. Full engine notes on the methodology page.