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Scores
Standings
NYY
@LAA		4
1
BOS
@CHW		4
6
SEA
@CLE		3
6
MIN
@DET		2
5
TOR
@KCR		5
6
BAL
@TBD		2
6
OAK
@TEX		8
3
ATL
@ARI		2
3
MIL
@CIN		2
3
LAD
@NYM		0
6
SDP
@PHI		1
5
COL
@PIT		0
3
FLA
@SFG		4
1
CHC
@STL		8
4		 
(10)
HOU
@WSN		4
1		 
(14)
Sunday, July 24, 2005 1:09PM
, Comerica Park
Attendance: 27,966, Time of Game: 2:22
Twins
2
53-45
⇐ Lost 1 ⇒
2nd, 11½ GB
 at Tigers
5
49-49
⇐ Won 1 ⇒
4th, 15½ GB
L: Kyle Lohse (7-9)
 
                1  2  3   4  5  6   7  8  9    R  H  E
                -  -  -   -  -  -   -  -  -    -  -  -
Twins           0  0  1   0  0  0   0  0  1    2  7  1
Tigers          1  0  0   1  2  1   0  0  X    5 13  0

Minnesota Twins

Batting AB R H RBI BB SO BA OPS Pit Str WPA aLI WPA+ WPA- RE24 PO A
Shannon Stewart LF 4 0 2 1 0 1 .287 .748 12 8 0.078 1.16 0.133 -0.055 0.5 2 0
Bret Boone 2B 4 0 1 0 0 1 .226 .651 14 9 -0.088 0.94 0.022 -0.110 -1.2 3 1 GDP
Joe Mauer C 4 1 1 1 0 0 .311 .828 8 8 -0.048 0.74 0.019 -0.068 0.3 2 1 HR
Torii Hunter CF 4 0 1 0 0 0 .266 .788 13 9 -0.029 0.86 0.038 -0.068 -0.3 3 0
Jacque Jones RF 3 0 0 0 1 2 .269 .795 13 7 0.031 0.84 0.078 -0.046 0.1 3 0
Matt LeCroy DH 4 0 0 0 0 0 .285 .871 10 8 -0.166 1.00 0.000 -0.166 -1.5 GDP
Justin Morneau 1B 3 0 0 0 1 1 .247 .770 16 9 -0.002 0.82 0.052 -0.054 -0.5 7 2
Michael Cuddyer 3B 2 1 1 0 1 0 .259 .728 11 5 0.043 1.03 0.091 -0.048 0.6 0 3 3B
Juan Castro SS 2 0 0 0 0 1 .246 .648 5 4 -0.139 1.60 0.000 -0.139 -1.1 1 2 GDP
   Lew Ford PH 1 0 1 0 0 0 .256 .713 3 3 0.026 0.64 0.026 0.000 0.4
   Luis Rodriguez SS 0 0 0 0 0 0 .291 .780 0.000 0.00 0.000 0.000 0.0 0 1
Kyle Lohse P 1
   Matt Guerrier P 2 1
Team Totals 31 2 7 2 3 6 .226 .681 105 70 -0.294 0.95 0.459 -0.754 -2.7 24 11
3B: M Cuddyer (1, off J Bonderman).
HR: J Mauer (7, off J Bonderman; 9th inn, 0 on, 0 outs to RF).
TB: J Mauer 4; M Cuddyer 3; S Stewart 2; B Boone; T Hunter; L Ford.
GIDP: B Boone (12); M LeCroy (4); J Castro (2).
RBI: S Stewart (42); J Mauer (36).
2-out RBI: S Stewart.
Team LOB: 5.
With RISP: 1 for 7.
Fielding
DP: 1. J Castro-B Boone-J Morneau.
E: S Stewart (3).

Detroit Tigers

Batting AB R H RBI BB SO BA OPS Pit Str WPA aLI WPA+ WPA- RE24 PO A
Brandon Inge 3B 4 0 0 0 1 1 .275 .785 24 14 -0.032 0.72 0.039 -0.071 -1.0 0 2
Carlos Guillen SS 5 1 2 1 0 0 .326 .802 15 11 0.009 0.65 0.109 -0.099 0.1 1 5 HR,GDP
Chris Shelton 1B 5 2 3 0 0 0 .363 .990 19 11 0.071 0.34 0.078 -0.007 0.5 10 1 2·2B
Magglio Ordonez RF 4 0 3 1 1 0 .333 .915 17 7 0.171 0.59 0.172 -0.001 2.2 0 0 2·2B
   Nook Logan CF 0 0 0 0 0 0 .275 .678 0.000 0.00 0.000 0.000 0.0 0 0
Dmitri Young DH 4 0 0 0 0 1 .250 .785 16 10 -0.102 0.95 0.000 -0.102 -1.8
Ivan Rodriguez C 4 1 2 0 0 0 .297 .774 9 8 0.002 0.57 0.046 -0.044 -0.8 6 0
Craig Monroe LF-RF 2 0 0 0 1 0 .292 .801 10 4 -0.014 0.70 0.030 -0.044 -0.3 3 0 HBP
Omar Infante 2B 4 0 1 0 0 0 .236 .679 10 8 -0.058 0.83 0.011 -0.069 -0.1 3 4 2B
Curtis Granderson CF-LF 3 1 2 2 1 0 .429 1.610 16 7 0.157 0.60 0.187 -0.030 1.9 3 0 HR,3B
Jeremy Bonderman P
   Jamie Walker P
   Kyle Farnsworth P 1
Team Totals 35 5 13 4 4 2 .371 1.193 136 80 0.204 0.65 0.672 -0.467 0.9 27 12
2B: C Shelton 2 (10, 2 off K Lohse); M Ordonez 2 (9, 2 off K Lohse); O Infante (20, off M Guerrier).
3B: C Granderson (2, off K Lohse).
HR: C Guillen (3, off K Lohse; 5th inn, 0 on, 0 outs to RF); C Granderson (2, off K Lohse; 6th inn, 0 on, 0 outs to CF-RF).
HBP: C Monroe (2, by K Lohse).
TB: C Granderson 7; C Shelton 5; M Ordonez 5; C Guillen 5; O Infante 2; I Rodriguez 2.
GIDP: C Guillen (9).
RBI: C Granderson 2 (4); C Guillen (18); M Ordonez (17).
2-out RBI: C Granderson.
Team LOB: 11.
With RISP: 1 for 8.
Fielding
DP: 3. O Infante-C Shelton; B Inge-O Infante-C Shelton; C Guillen-O Infante-C Shelton.

Minnesota Twins

Pitching IP H R ER BB SO HR ERA BF Pit Str Ctct StS StL GB FB LD Unk GSc IR IS WPA aLI RE24
Kyle Lohse, L (7-9) 5.2 11 5 4 3 2 2 4.45 31 102 58 35 4 19 9 16 6 0 28 -0.226 0.81 -2.5
Matt Guerrier 2.1 2 0 0 1 0 0 3.32 9 34 22 16 0 6 3 5 2 0 2 0 0.022 0.16 1.6
Team Totals 8 13 5 4 4 2 2 4.50 40 136 80 51 4 25 12 21 8 0 28 2 0 -0.204 0.95 -0.9

Detroit Tigers

Pitching IP H R ER BB SO HR ERA BF Pit Str Ctct StS StL GB FB LD Unk GSc IR IS WPA aLI RE24
Jeremy Bonderman, W (13-6) 8 7 2 2 2 6 1 3.95 31 97 67 37 14 16 11 12 4 0 64 0.222 0.89 1.8
Jamie Walker 0 0 0 0 1 0 0 2.38 1 4 0 0 0 0 0 0 0 1 0 -0.078 1.55 -0.6
Kyle Farnsworth, S (5) 1 0 0 0 0 0 0 2.38 2 4 3 2 0 1 2 0 0 0 2 0 0.151 1.69 1.5
Team Totals 9 7 2 2 3 6 1 2.00 34 105 70 39 14 17 13 12 4 0 64 3 0 0.295 0.65 2.7
J Bonderman faced 2 batters in the 9th inning.
J Walker faced 1 batter in the 9th inning.
Balks: None.
WP: None.
HBP: K Lohse (5; C Monroe).
IBB: None.
Pickoffs: None.

Other Info

Umpires: HP - Dan Iassogna, 1B - Dale Scott, 2B - Tim Tschida, 3B - Ron Kulpa.
Time of Game: 2:22.
Attendance: 27,966.
Field Condition: Unknown.
Start Time Weather: 73° F, Wind 13mph from Right to Left.

Starting Lineups

Win Probability Chart

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Scoring Plays
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Top 5 Plays

View Pitches · wWE and wWPA Explanation
Inn Score Out RoB Pit(cnt) R/O @Bat Batter Pitcher wWPA wWE Play Description
b4 1-1 2 1-- 3,(1-1)  R DET C. Granderson K. Lohse 15% 67% Triple to RF (Fly Ball to Deep RF); Rodriguez Scores
t9 2-5 0 12- 1,(0-0)  OO MIN M. LeCroy K. Farnsworth 14% 99% Ground Ball Double Play: SS-2B-1B; Hunter to 3B
b1 0-0 2 1-- 5,(3-1)  R DET M. Ordonez K. Lohse 11% 63% Double to LF (Line Drive to LF Line); Shelton Scores/unER/No RBI/Adv on E7
b5 2-1 0 --- 4,(1-2)  R DET C. Guillen K. Lohse 10% 81% Home Run (Fly Ball)
t3 0-1 2 --3 1,(0-0)  R MIN S. Stewart J. Bonderman -10% 53% Single to LF (Line Drive); Cuddyer Scores

Play By Play

View Pitches · Box Score Explanation · wWE and wWPA Explanation
Inn Score Out RoB Pit(cnt) R/O @Bat Batter Pitcher wWPA wWE Play Description
Top of the 1st, Twins Batting, Tied 0-0, Tigers' Jeremy Bonderman facing 1-2-3
t1 0-0 0 --- 2,(1-0)  MIN S. Stewart J. Bonderman -4% 46% Single to LF (Ground Ball)
t1 0-0 0 1-- 2,(0-1)  OO MIN B. Boone J. Bonderman 7% 54% Ground Ball Double Play: 3B-2B-1B
t1 0-0 2 --- 1,(0-0)  O MIN J. Mauer J. Bonderman 1% 55% Flyball: LF (Deep LF)
0 runs, 1 hit, 0 errors, 0 LOB. Twins 0, Tigers 0.
Bottom of the 1st, Tigers Batting, Tied 0-0, Twins' Kyle Lohse facing 1-2-3
b1 0-0 0 --- 6,(2-2)  O DET B. Inge K. Lohse -2% 53% Flyball: RF
b1 0-0 1 --- 2,(1-0)  O DET C. Guillen K. Lohse -2% 51% Flyball: LF (Deep LF)
b1 0-0 2 --- 3,(1-1)  DET C. Shelton K. Lohse 1% 52% Single to RF (Line Drive)
b1 0-0 2 1-- 5,(3-1)  R DET M. Ordonez K. Lohse 11% 63% Double to LF (Line Drive to LF Line); Shelton Scores/unER/No RBI/Adv on E7
b1 1-0 2 -2- 6,(3-2)  O DET D. Young K. Lohse -3% 60% Strikeout Looking
1 run, 2 hits, 1 error, 1 LOB. Twins 0, Tigers 1.
Top of the 2nd, Twins Batting, Behind 0-1, Tigers' Jeremy Bonderman facing 4-5-6
t2 0-1 0 --- 3,(1-1)  O MIN T. Hunter J. Bonderman 2% 63% Groundout: 2B-1B
t2 0-1 1 --- 1,(0-0)  O MIN J. Jones J. Bonderman 2% 64% Popfly: SS (Short LF)
t2 0-1 2 --- 5,(2-2)  O MIN M. LeCroy J. Bonderman 1% 66% Groundout: 1B unassisted
0 runs, 0 hits, 0 errors, 0 LOB. Twins 0, Tigers 1.
Bottom of the 2nd, Tigers Batting, Ahead 1-0, Twins' Kyle Lohse facing 6-7-8
b2 1-0 0 --- 2,(0-1)  O DET I. Rodriguez K. Lohse -2% 64% Popfly: SS
b2 1-0 1 --- 3,(1-1)  DET C. Monroe K. Lohse 2% 66% Hit By Pitch
b2 1-0 1 1-- 4,(2-1)  O DET O. Infante K. Lohse -2% 64% Groundout: 3B-1B; Monroe to 2B
b2 1-0 2 -2- 5,(2-2)  O DET C. Granderson K. Lohse -3% 61% Groundout: 1B-P
0 runs, 0 hits, 0 errors, 1 LOB. Twins 0, Tigers 1.
Top of the 3rd, Twins Batting, Behind 0-1, Tigers' Jeremy Bonderman facing 7-8-9
t3 0-1 0 --- 5,(2-2)  O MIN J. Morneau J. Bonderman 3% 64% Strikeout Swinging
t3 0-1 1 --- 5,(1-2)  MIN M. Cuddyer J. Bonderman -8% 56% Triple to CF (Line Drive to Deep CF)
t3 0-1 1 --3 4,(1-2)  O MIN J. Castro J. Bonderman 7% 63% Strikeout Swinging
t3 0-1 2 --3 1,(0-0)  R MIN S. Stewart J. Bonderman -10% 53% Single to LF (Line Drive); Cuddyer Scores
t3 1-1 2 1-- 3,(2-0)  MIN B. Boone J. Bonderman -2% 51% Single to RF (Ground Ball); Stewart to 2B
t3 1-1 2 12- 2,(0-1)  O MIN J. Mauer J. Bonderman 5% 56% Flyball: LF (Deep LF)
1 run, 3 hits, 0 errors, 2 LOB. Twins 1, Tigers 1.
Bottom of the 3rd, Tigers Batting, Tied 1-1, Twins' Kyle Lohse facing 1-2-3
b3 1-1 0 --- 6,(3-2)  DET B. Inge K. Lohse 4% 59% Walk
b3 1-1 0 1-- 4,(2-1)  OO DET C. Guillen K. Lohse -8% 51% Ground Ball Double Play: SS-2B-1B
b3 1-1 2 --- 6,(3-2)  DET C. Shelton K. Lohse 3% 54% Double to RF (Line Drive to Deep RF Line)
b3 1-1 2 -2- 5,(3-1)  DET M. Ordonez K. Lohse 1% 55% Walk
b3 1-1 2 12- 1,(0-0)  O DET D. Young K. Lohse -5% 50% Lineout: CF
0 runs, 1 hit, 0 errors, 2 LOB. Twins 1, Tigers 1.
Top of the 4th, Twins Batting, Tied 1-1, Tigers' Jeremy Bonderman facing 4-5-6
t4 1-1 0 --- 6,(3-2)  O MIN T. Hunter J. Bonderman 3% 53% Flyball: CF (Deep CF)
t4 1-1 1 --- 5,(2-2)  O MIN J. Jones J. Bonderman 2% 55% Strikeout Swinging
t4 1-1 2 --- 3,(0-2)  O MIN M. LeCroy J. Bonderman 1% 56% Groundout: SS-1B
0 runs, 0 hits, 0 errors, 0 LOB. Twins 1, Tigers 1.
Bottom of the 4th, Tigers Batting, Tied 1-1, Twins' Kyle Lohse facing 6-7-8
b4 1-1 0 --- 2,(0-1)  DET I. Rodriguez K. Lohse 4% 60% Single to LF (Ground Ball)
b4 1-1 0 1-- 1,(0-0)  O DET C. Monroe K. Lohse -4% 56% Popfly: 1B
b4 1-1 1 1-- 2,(0-1)  O DET O. Infante K. Lohse -3% 53% Lineout: LF
b4 1-1 2 1-- 3,(1-1)  R DET C. Granderson K. Lohse 15% 67% Triple to RF (Fly Ball to Deep RF); Rodriguez Scores
b4 2-1 2 --3 6,(2-2)  O DET B. Inge K. Lohse -4% 64% Strikeout Swinging
1 run, 2 hits, 0 errors, 1 LOB. Twins 1, Tigers 2.
Top of the 5th, Twins Batting, Behind 1-2, Tigers' Jeremy Bonderman facing 7-8-9
t5 1-2 0 --- 7,(3-2)  MIN J. Morneau J. Bonderman -5% 59% Walk
t5 1-2 0 1-- 2,(1-0)  O MIN M. Cuddyer J. Bonderman 5% 63% Flyball: CF
t5 1-2 1 1-- 1,(0-0)  OO MIN J. Castro J. Bonderman 7% 71% Ground Ball Double Play: 2B-1B
0 runs, 0 hits, 0 errors, 0 LOB. Twins 1, Tigers 2.
Bottom of the 5th, Tigers Batting, Ahead 2-1, Twins' Kyle Lohse facing 2-3-4
b5 2-1 0 --- 4,(1-2)  R DET C. Guillen K. Lohse 10% 81% Home Run (Fly Ball)
b5 3-1 0 --- 3,(2-0)  DET C. Shelton K. Lohse 4% 85% Double to CF (Fly Ball to Deep CF)
b5 3-1 0 -2- 1,(0-0)  R DET M. Ordonez K. Lohse 5% 90% Single to CF (Ground Ball); Shelton Scores
b5 4-1 0 1-- 1,(0-0)  O DET D. Young K. Lohse -1% 88% Groundout: 3B-2B/Forceout at 2B
b5 4-1 1 1-- 4,(1-2)  O DET I. Rodriguez K. Lohse -1% 87% Groundout: 3B-2B/Forceout at 2B
b5 4-1 2 1-- 4,(3-0)  DET C. Monroe K. Lohse 1% 88% Walk; Rodriguez to 2B
b5 4-1 2 12- 2,(0-1)  O DET O. Infante K. Lohse -2% 86% Flyball: RF
2 runs, 3 hits, 0 errors, 2 LOB. Twins 1, Tigers 4.
Top of the 6th, Twins Batting, Behind 1-4, Tigers' Jeremy Bonderman facing 1-2-3
t6 1-4 0 --- 2,(1-0)  O MIN S. Stewart J. Bonderman 2% 89% Flyball: LF (LF-CF)
t6 1-4 1 --- 6,(3-2)  O MIN B. Boone J. Bonderman 2% 90% Flyball: CF
t6 1-4 2 --- 2,(0-1)  O MIN J. Mauer J. Bonderman 1% 91% Groundout: SS-1B
0 runs, 0 hits, 0 errors, 0 LOB. Twins 1, Tigers 4.
Bottom of the 6th, Tigers Batting, Ahead 4-1, Twins' Kyle Lohse facing 9-1-2
b6 4-1 0 --- 4,(2-1)  R DET C. Granderson K. Lohse 4% 95% Home Run (Fly Ball to CF-RF)
b6 5-1 0 --- 1,(0-0)  O DET B. Inge K. Lohse -0% 95% Groundout: SS-1B
b6 5-1 1 --- 1,(0-0)  DET C. Guillen K. Lohse 0% 95% Single to RF (Ground Ball)
b6 5-1 1 1-- 3,(1-1)  O DET C. Shelton K. Lohse -1% 95% Popfly: 1B
b6 5-1 2 1-- 2,(1-0)  DET M. Ordonez K. Lohse 1% 95% Ground-rule Double (Line Drive); Guillen to 3B
Matt Guerrier replaces Kyle Lohse pitching
b6 5-1 2 -23 8,(3-2)  O DET D. Young M. Guerrier -1% 94% Groundout: P-1B
1 run, 3 hits, 0 errors, 2 LOB. Twins 1, Tigers 5.
Top of the 7th, Twins Batting, Behind 1-5, Tigers' Jeremy Bonderman facing 4-5-6
t7 1-5 0 --- 2,(0-1)  O MIN T. Hunter J. Bonderman 2% 96% Groundout: 3B-1B
t7 1-5 1 --- 3,(0-2)  O MIN J. Jones J. Bonderman 1% 97% Strikeout Swinging
t7 1-5 2 --- 1,(0-0)  O MIN M. LeCroy J. Bonderman 0% 97% Groundout: SS-1B
0 runs, 0 hits, 0 errors, 0 LOB. Twins 1, Tigers 5.
Bottom of the 7th, Tigers Batting, Ahead 5-1, Twins' Matt Guerrier facing 6-7-8
b7 5-1 0 --- 1,(0-0)  DET I. Rodriguez M. Guerrier 0% 97% Single to CF (Line Drive)
b7 5-1 0 1-- 2,(0-1)  O DET C. Monroe M. Guerrier -0% 97% Foul Flyball: RF (RF Foul)
b7 5-1 1 1-- 2,(0-1)  DET O. Infante M. Guerrier 1% 98% Double to LF (Line Drive to Deep LF); Rodriguez to 3B
b7 5-1 1 -23 1,(0-0)  O DET C. Granderson M. Guerrier -1% 97% Baserunner Out Advancing; Rodriguez out at Hm/C-P; Infante to 3B/Adv on throw
b7 5-1 2 --3 4,(3-0)  DET C. Granderson M. Guerrier 0% 97% Walk
b7 5-1 2 1-3 5,(2-2)  O DET B. Inge M. Guerrier -1% 96% Flyball: CF
0 runs, 2 hits, 0 errors, 2 LOB. Twins 1, Tigers 5.
Top of the 8th, Twins Batting, Behind 1-5, Tigers' Jeremy Bonderman facing 7-8-9
t8 1-5 0 --- 1,(0-0)  O MIN J. Morneau J. Bonderman 1% 98% Groundout: SS-1B
t8 1-5 1 --- 4,(3-0)  MIN M. Cuddyer J. Bonderman -1% 96% Walk
Lew Ford pinch hits for Juan Castro (SS) batting 9th
t8 1-5 1 1-- 3,(0-2)  MIN L. Ford J. Bonderman -3% 94% Single to LF (Line Drive); Cuddyer to 2B
t8 1-5 1 12- 7,(2-2)  O MIN S. Stewart J. Bonderman 3% 97% Strikeout Swinging
t8 1-5 2 12- 3,(0-2)  O MIN B. Boone J. Bonderman 2% 99% Strikeout Swinging
0 runs, 1 hit, 0 errors, 2 LOB. Twins 1, Tigers 5.
Bottom of the 8th, Tigers Batting, Ahead 5-1, Twins' Matt Guerrier facing 2-3-4
Luis Rodriguez replaces Lew Ford (PH) playing SS batting 9th
b8 5-1 0 --- 4,(0-2)  O DET C. Guillen M. Guerrier -0% 99% Groundout: 1B-P
b8 5-1 1 --- 4,(1-2)  O DET C. Shelton M. Guerrier -0% 99% Flyball: CF (Deep CF)
b8 5-1 2 --- 4,(2-1)  O DET M. Ordonez M. Guerrier -0% 98% Groundout: SS-1B
0 runs, 0 hits, 0 errors, 0 LOB. Twins 1, Tigers 5.
Top of the 9th, Twins Batting, Behind 1-5, Tigers' Jeremy Bonderman facing 3-4-5
Curtis Granderson moves from CF to LF
Nook Logan replaces Magglio Ordonez (RF) playing CF batting 4th
Craig Monroe moves from LF to RF
t9 1-5 0 --- 3,(0-2)  R MIN J. Mauer J. Bonderman -2% 97% Home Run (Fly Ball)
t9 2-5 0 --- 2,(0-1)  MIN T. Hunter J. Bonderman -4% 93% Single to RF (Line Drive)
Jamie Walker replaces Jeremy Bonderman pitching
t9 2-5 0 1-- 4,(3-0)  MIN J. Jones J. Walker -8% 85% Walk; Hunter to 2B
Kyle Farnsworth replaces Jamie Walker pitching
t9 2-5 0 12- 1,(0-0)  OO MIN M. LeCroy K. Farnsworth 14% 99% Ground Ball Double Play: SS-2B-1B; Hunter to 3B
t9 2-5 2 --3 3,(1-1)  O MIN J. Morneau K. Farnsworth 1% 100% Groundout: 1B-P
1 run, 2 hits, 0 errors, 1 LOB. Twins 2, Tigers 5.

Retrosheet.org Boxscore:DET200507240
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Play-by-Play Explanation

  • Score- The score from the perspective of the batting team.
  • RoB- This gives the baserunner (Runners on Base) configuration at the start of the play. "1-3" would mean runners on first and third. Clicking on this will show the defensive players and baserunners on the field for this play.
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  • wWPA- Winning Team's Win Probability Added. The amount that this play increased or decreased the eventual winning team's probability of winning the game. More About Win Probability Added
  • wWE- Winning Team's Win Expectancy. The probability of the eventual winning team winning the game prior to this play given two average teams playing each other. More About Win Probability Added
  • Play Detail- This is an explanation of the play that occurred. In some cases, batted ball location and type will be indicated within parentheses. Again, these are best efforts to the record the game as it happened. Also, plays made on the baserunners (including the batter as a baserunner) will be indicated in parentheses after the baserunner's name. Advancement of baserunners is given in cases where the advancement is not easily deduced or obvious from the play. For example, advancement for a walk will not be given, but for a single or double it will be given.

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