CURRENT NBA ROSTER · PLAYER INTELLIGENCE

Patrick Williams

Chicago Bulls current context with accepted historical evidence kept separate.

Chicago Bulls · current teamFUSAFlorida State

AF-PLAYER25.92025–26

NBA RANK#400of 409

PH$5.9MDepth · fictional game currency

STATUSUNSPECIFIEDsource status

EXPECTED MIN22.5governed role

NEXT GAME@ Toronto Raptors2026-10-21 WHAT IF IMPACT+0.9 ppteam win probability if OUT · model counterfactual

REGULAR-SEASON GAMES335

Player-safe accepted corpus.

CAREER PPG · CORPUS9.0

2019–20 through 2025–26 window.

CAREER RPG · CORPUS3.8

Historical window, not full NBA career.

CAREER APG · CORPUS1.4

Historical window, not full NBA career.

LATEST COMPLETED SEASON

2025–26

61 games

MIN19.7

PTS6.8

REB2.8

AST1.3

STL0.6

BLK0.3

3PM1.3

FG%37.8%

3P%36.4%

FT%71.2%

+/--4.7

NEXT GAME

Current context

2026–27 · Chicago Bulls

Assigned schedule

NBA Official roster

2026-10-21 · AWAY@ Toronto Raptors33.8% winProjected 112–116

2026-10-23 · AWAY@ Milwaukee Bucks42.1% winProjected 113–115

2026-10-24 · HOMEvs Washington Wizards58.9% winProjected 113–118

2026-10-26 · AWAY@ Boston Celtics25.8% winProjected 111–116

2026-10-28 · HOMEvs New York Knicks32.5% winProjected 115–112

E66 · PLAYER PROJECTION

Loading next-game projection…

PTS / REB / AST / 3PM use a separately validated player-stat model. Game Win, projected team score, Form and milestones keep their own authorities.

Current team Open Player What If

MINUTES + FORM

Role-adjusted performance

CURRENT FORM · 2026–27

Waiting for completed player boxscores

PRESEASON / NO SAMPLE

ProbHoops will activate Last 5 / Last 10 form only after observed 2026–27 player boxscores exist. No current form label is borrowed from 2025–26.

LATEST OBSERVED REFERENCE · 2025–26

Historical Minutes Intelligence

DESCRIPTIVE · NOT CURRENT

Expected minutes were frozen before each historical game. Role-Consistent means actual minutes stayed between 75% and 125% of that pregame reference. Low minutes are diagnostic only: ProbHoops does not infer rest, injury or a coaching decision from the box score.

LATEST ACTUAL0minutes

EXPECTED19.18pregame reference

DEVIATION-100%zero minutes reason unknown

LAST 5

ALL OBSERVED5 G0 PTS · 0 REB · 0 AST

ROLE-CONSISTENT5 G7.4 PTS · 1.6 REB · 1.4 AST

LAST 10

ALL OBSERVED10 G0.2 PTS · 0.1 REB · 0.1 AST

ROLE-CONSISTENT10 G5 PTS · 1.7 REB · 1.1 AST

creation→

efficiency↑

minutes↑

rebounding↓

scoring→

MIXED historical run. This is a descriptive historical reference, not a next-game projection, AF-Player input, availability claim or causal diagnosis.

SPLITS + EFFICIENCY

How the production is built

EFFICIENCY

Shooting, derived from the box score

CAREER · 335 GAMES

2PM and 2PA need no source: a two-pointer is a field goal that was not a three. eFG% credits the extra point a three is worth; TS% is the only one of these that accounts for free throws. A rate below its attempt floor is shown as — rather than as a flattering number.

FIELD GOALS44.0%1121/2548

2-POINT47.8%707/1478

3-POINT38.7%414/1070

FREE THROW76.3%363/476

EFFECTIVE FG%52.1%

TRUE SHOOTING%54.7%

AST / TO1.16

PTS PER 3612.6rate, not projection

HOME / AWAY

Where the games were played

169 HOME · 166 AWAY

Split	G	MIN	PTS	REB	AST	3PM	STL	BLK
Home	169	25.63	8.72	3.7	1.42	1.21	0.82	0.6
Away	166	25.89	9.31	3.98	1.45	1.27	0.78	0.65
Home − Away	—	-0.3	-0.6	-0.3	-0.0	-0.1	+0.0	-0.1

Home minus away, computed only when both sides reach the sample floor. A difference is a measurement, not a home-court effect.

CONSISTENCY

What the average hides

335 GAMES

Two players averaging the same points can be 20-21-24 and 5-38-12. Floor, median and ceiling are the 20th / 50th / 80th percentile, linearly interpolated.

Category	Floor	Median	Ceiling	Mean	Volatility
assists	0	1	2	1.43	high
minutes	20	26	32	25.76	low
points	5	9	13	9.01	high
rebounds	2	3	6	3.84	high

Percentiles, not minimum and maximum: one exceptional night is not a ceiling.

DOUBLE-DOUBLES

Observed frequency across the corpus

335 GAMES

DOUBLE-DOUBLES61.8% of games

TRIPLE-DOUBLES00.0% of games

10+ ASSISTS00.0%

10+ BLOCKS00.0%

Observed frequency across the measured corpus, not a forecast. Category probabilities are not multiplied together: production categories are dependent through minutes and role.

GAME LOG · 2025–26

One log, the window you choose

10 games

Date	Opp	MIN	EXP MIN	MIN Δ	PTS	FG	2P	3P	FT	OR	DR	REB	AST	STL	BLK	TOV	PF	+/-	TS%
2026-03-30	@ SAS	21	18.36	+14.4%	2	0/7	0/3	0/4	2/2	0	1	1	1	1	1	1	0	+3.0	13%
2026-03-25	@ PHI	20	15.31	+30.6%	10	4/6	3/3	1/3	1/4	1	2	3	1	1	0	0	1	-14.0	64%
2026-03-23	vs HOU	19	12.21	+55.6%	2	1/2	1/1	0/1	0/0	0	1	1	0	0	0	1	2	-4.0	50%
2026-03-19	vs CLE	20	12.1	+65.3%	6	2/5	0/1	2/4	0/0	0	1	1	1	1	0	2	4	+5.0	60%
2026-03-18	vs TOR	26	9.05	+187.3%	7	2/7	2/4	0/3	3/3	1	4	5	0	2	0	1	1	-21.0	42%
2026-03-13	@ LAC	23	5.84	+293.9%	2	0/7	0/1	0/6	2/2	1	2	3	1	0	3	2	1	+3.0	13%
2026-03-08	@ SAC	17	7.9	+115.2%	5	2/6	1/2	1/4	0/0	0	1	1	0	0	1	3	3	-18.0	42%
2026-02-24	vs CHA	26	23.73	+9.6%	11	4/6	1/1	3/5	0/0	1	1	2	1	0	0	4	0	-4.0	92%
2026-02-22	vs NYK	28	21.88	+28%	10	3/8	1/1	2/7	2/2	0	1	1	8	0	1	1	0	+6.0	56%
2026-02-21	vs DET	16	21.92	-27%	6	2/5	0/1	2/4	0/0	0	1	1	1	2	0	0	2	-10.0	60%

All E57 box-score columns remain available. E65 adds the frozen expected-minutes reference and deviation without removing any observed box-score field. The table scrolls inside its own region on narrow screens; highlighted rows are double-doubles and the strongest highlight is a triple-double.

HISTORY

Season and milestone evidence

DESCRIPTIVE MILESTONES · 2025–26

How often did the threshold occur?

historical frequency

These are observed historical frequencies, not current model probabilities and not betting lines.

20+ POINTS0.0%0/61 games

10+ REBOUNDS1.6%1/61 games

5+ ASSISTS3.3%2/61 games

2+ THREES44.3%27/61 games

SEASON HISTORY

Regular-season production

accepted player-safe games

Season	Team(s)	G	MIN	PTS	REB	AST	FG%	3P%	FT%
2025–26	CHI	61	19.7	6.8	2.8	1.3	37.8%	36.4%	71.2%
2024–25	CHI	61	24.9	8.8	3.7	2.0	38.9%	35.1%	72.5%
2023–24	CHI	43	27.3	10.0	3.9	1.5	44.3%	39.9%	78.8%
2022–23	CHI	82	28.4	10.2	4.0	1.2	46.4%	41.7%	85.7%
2021–22	CHI	17	24.8	9.0	4.1	0.9	52.9%	51.7%	73.2%
2020–21	CHI	71	27.9	9.2	4.6	1.4	48.3%	39.1%	72.8%

AF-PLAYER HISTORY

Season by season

Season	Team	G	AF-Player	Rank	PH$	Band
2025–26	CHI	61	25.9	#400 / 409	5.9M	Depth
2024–25	CHI	62	26.8	#410 / 422	6.3M	Depth
2023–24	CHI	43	34.6	#339 / 409	7M	Depth
2022–23	CHI	84	33.4	#334 / 408	8.7M	Depth
2021–22	CHI	22	43.7	#198 / 423	10.2M	Rotation
2020–21	CHI	71	34.6	#332 / 410	8.7M	Depth

PH$ is a free ProbHoops game currency and carries no monetary value: it is not a salary, market value or contract figure, and it is not redeemable or convertible. How PH$ works.

CURRENT / HISTORICAL BOUNDARY

Current context is active. Historical evidence stays historical.

governed identity

Current roster, literal availability, expected minutes and future-game context come from the governed current product. Historical production and with/without evidence are not rewritten as current-season claims.

Open team profile

IMPACT

Rating and role context

AF-PLAYER

Measured production, 2025–26

#400 OF 409

AF-PLAYER25.9descriptive index, not a win probability

NBA RANK#400of 409 ranked

PH$5.9MDepth

SAMPLE61observed games

Ball security

Box defence

Creation

Efficiency

Rebounding

Scoring

PH$ is a free ProbHoops game currency. It is derived only from measured on-court production and position in that season's distribution. It is not salary, market value, contract value, trade price or betting value. How PH$ works.

E67 · ROLE & ROSTER INTELLIGENCE

Distinct signals, side by side

descriptive · current role + historical rating

Value Over Role, AF-Player Movement, Role Change and Star Dependency are separate diagnostics. They do not alter AF-Player, Form, Availability, Game Win or the governed What If scenario.

VALUE OVER ROLE-44.1 ppAF-Player pct − Expected Minutes pct

AF MOVEMENT-0.6 pp2024–25 → 2025–26

ROLE CHANGESTABLE+2.8 min vs latest observed MPG

STAR DEPENDENCY29+0.9 pp next-game What If impact

Player movement Opportunities Compare players

Boundary: Star Dependency is model dependency, not causal truth. Opportunity labels are mechanical screeners, not predictions or personnel recommendations. PH$ remains fictional game currency.

PLAYER IMPACT · 2025–26

Pregame role and with/without context

descriptive · not causal

Role measures are based on information frozen before games. With/without appears only when the historical sample passes the research gate; it does not prove that an absence caused the observed team change.

CHI

Chicago Bulls

EXPECTED MIN16.2

SCORING SHARE6.3%

CREATION SHARE5.4%

PARTICIPATION PRIOR77.1%

With/without sample did not qualify for publication.