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Scores
Standings
TEX
@BAL		15
1
OAK
@BOS		5
4		 
(11)
KCR
@DET		4
6
CLE
@MIN		6
4
COL
@CIN		7
9
HOU
@FLA		5
1
LAD
@STL		2
3		 
(14)
Thursday, July 13, 2006 7:05PM
, Comerica Park
Attendance: 31,967, Time of Game: 3:08
Royals
4
31-57
⇐ Lost 3 ⇒
5th, 28½ GB
 at Tigers
6
60-29
⇐ Won 1 ⇒
1st
 
                1  2  3   4  5  6   7  8  9    R  H  E
                -  -  -   -  -  -   -  -  -    -  -  -
Royals          1  1  0   2  0  0   0  0  0    4 10  2
Tigers          0  0  0   1  5  0   0  0  X    6  9  0

Kansas City Royals

Batting AB R H RBI BB SO BA OPS Pit Str WPA aLI WPA+ WPA- RE24 PO A
Joey Gathright CF 4 0 0 0 1 2 .208 .570 25 14 -0.098 1.06 0.028 -0.126 -1.2 3 0 GDP
Tony Graffanino 2B 4 1 1 1 1 0 .271 .749 20 11 -0.003 1.08 0.114 -0.116 0.4 3 3 HR
David DeJesus LF 5 0 0 0 0 3 .302 .858 17 15 -0.126 0.98 0.000 -0.126 -1.3 3 0
Reggie Sanders DH 5 0 1 0 0 2 .249 .737 18 11 -0.066 0.68 0.011 -0.078 -0.7
Matt Stairs 1B 4 0 2 0 1 1 .272 .835 18 9 0.023 0.60 0.055 -0.032 0.3 6 1
Emil Brown RF 4 1 2 0 0 0 .280 .767 20 13 -0.005 1.06 0.065 -0.071 -0.4 1 0 2B
Mark Teahen 3B 4 2 2 2 0 0 .265 .797 11 8 0.106 1.39 0.205 -0.099 1.8 0 2 HR,3B
Angel Berroa SS 4 0 1 0 0 2 .245 .614 10 10 -0.004 0.90 0.068 -0.071 -0.5 1 0
John Buck C 2 0 1 1 2 0 .244 .725 15 6 0.013 1.13 0.074 -0.061 0.5 6 0
Brandon Duckworth P 1 1
   Todd Wellemeyer P 2
   Joel Peralta P
Team Totals 36 4 10 4 5 10 .278 .894 154 97 -0.160 0.97 0.620 -0.780 -1.0 24 9
2B: E Brown (21, off J Bonderman).
3B: M Teahen (5, off J Bonderman).
HR: M Teahen (8, off J Bonderman; 4th inn, 1 on, 1 out to RF); T Graffanino (5, off J Bonderman; 1st inn, 0 on, 1 out to LF-CF).
TB: M Teahen 7; T Graffanino 4; E Brown 3; M Stairs 2; J Buck; A Berroa; R Sanders.
GIDP: J Gathright (2).
RBI: M Teahen 2 (31); T Graffanino (31); J Buck (31).
Team LOB: 10.
With RISP: 2 for 7.
Fielding
DP: 1. M Teahen-T Graffanino-M Stairs.
E: M Teahen 2 (10).

Detroit Tigers

Batting AB R H RBI BB SO BA OPS Pit Str WPA aLI WPA+ WPA- RE24 PO A
Curtis Granderson CF 3 0 1 1 0 1 .278 .827 12 9 0.001 1.53 0.034 -0.034 -0.1 1 0 SH
Placido Polanco 2B 4 1 0 0 0 0 .282 .671 21 13 0.147 1.40 0.249 -0.101 0.4 4 3 GDP
Ivan Rodriguez C 3 1 1 1 1 0 .308 .797 22 13 0.039 0.68 0.072 -0.033 0.6 9 1 HR
Magglio Ordonez RF 4 0 1 1 0 1 .311 .868 18 15 0.061 0.82 0.104 -0.044 0.4 0 0
Carlos Guillen SS 3 0 1 0 1 0 .298 .875 21 11 -0.048 0.79 0.035 -0.083 -0.4 2 3
Marcus Thames LF 3 1 1 0 0 0 .298 1.002 15 8 -0.016 0.85 0.030 -0.046 -0.3 0 0
   Alexis Gomez LF 1 0 1 0 0 0 .286 .711 4 2 0.025 0.36 0.025 0.000 0.9 0 0
Craig Monroe DH 4 1 1 0 0 2 .245 .730 24 17 -0.016 0.82 0.045 -0.062 -0.9
Chris Shelton 1B 4 1 1 0 0 1 .282 .852 17 9 0.031 1.01 0.076 -0.045 -0.3 8 1
Brandon Inge 3B 2 1 1 1 1 1 .223 .747 10 5 0.117 1.45 0.129 -0.012 1.3 2 1
Jeremy Bonderman P 1
   Jason Grilli P
   Fernando Rodney P
   Joel Zumaya P
   Todd Jones P
Team Totals 31 6 9 4 3 6 .290 .740 164 102 0.341 1.01 0.799 -0.460 1.6 27 9
HR: I Rodriguez (8, off B Duckworth; 4th inn, 0 on, 2 outs to LF-CF).
SH: C Granderson (4, off T Wellemeyer).
TB: I Rodriguez 4; A Gomez; C Guillen; C Monroe; C Shelton; M Ordonez; B Inge; C Granderson; M Thames.
GIDP: P Polanco (13).
RBI: I Rodriguez (40); C Granderson (44); M Ordonez (63); B Inge (48).
2-out RBI: M Ordonez; I Rodriguez.
Team LOB: 5.
With RISP: 3 for 10.
Fielding
DP: 1. P Polanco-C Shelton-C Guillen.
Baserunning
Pickoffs: C Guillen (1st base by B Duckworth).

Kansas City Royals

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
Brandon Duckworth, L (1-2) 4.2 6 6 3 2 3 1 5.40 21 103 59 40 3 16 8 8 2 0 35 -0.342 1.27 -2.7
Todd Wellemeyer 2.1 1 0 0 1 0 0 4.66 9 41 29 17 6 6 4 4 1 0 2 1 -0.014 0.73 0.6
Joel Peralta 1 2 0 0 0 3 0 4.40 5 24 16 7 7 2 0 2 2 0 0 0 0.017 0.38 0.6
Team Totals 8 9 6 3 3 6 1 3.38 35 168 104 64 16 24 12 14 5 0 35 2 1 -0.339 0.97 -1.6

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 (9-4) 5.2 7 4 4 5 8 2 3.59 28 108 69 36 12 21 7 8 4 0 42 -0.138 0.73 -1.1
Jason Grilli, H (6) 0.1 0 0 0 0 0 0 3.72 1 4 2 1 0 1 1 0 0 0 2 0 0.060 2.25 0.5
Fernando Rodney, H (11) 1 2 0 0 0 0 0 3.64 5 15 10 8 1 1 3 2 1 0 0 0 0.076 1.31 0.6
Joel Zumaya, H (21) 1 1 0 0 0 1 0 2.03 4 12 7 5 1 1 1 2 0 0 0 0 0.081 1.85 0.6
Todd Jones, S (24) 1 0 0 0 0 1 0 5.66 3 15 9 4 1 4 1 1 1 0 0 0 0.082 1.03 0.6
Team Totals 9 10 4 4 5 10 2 4.00 41 154 97 54 15 28 13 13 6 0 42 2 0 0.161 1.01 1.0
Balks: None.
WP: None.
HBP: None.
IBB: None.
Pickoffs: B Duckworth (1; C Guillen, 1st base).

Other Info

Umpires: HP - Tim Welke, 1B - Gary Cederstrom, 2B - Kerwin Danley, 3B - Chad Fairchild.
Time of Game: 3:08.
Attendance: 31,967.
Field Condition: Unknown.
Start Time Weather: 78° F, Wind 5mph in from Centerfield, Sunny.

Starting Lineups

Win Probability Chart

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Big Plays
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
b5 3-4 2 -23 5,(3-1)  RR DET P. Polanco B. Duckworth 25% 69% Reached on E5 (Ground Ball); Shelton Scores/unER/No RBI; Inge Scores/Adv on E5 (throw)/unER/No RBI; Polanco to 2B
t4 2-0 1 -2- 2,(0-1)  RR KCR M. Teahen J. Bonderman -12% 14% Home Run (Line Drive); Brown Scores
b5 1-4 1 123 1,(0-0)  R DET B. Inge B. Duckworth 11% 44% Single to LF (Line Drive); Thames Scores; Monroe to 3B; Shelton to 2B
b5 5-4 2 12- 6,(0-2)  R DET M. Ordonez T. Wellemeyer 10% 80% Single to LF (Ground Ball); Polanco Scores/unER; Rodriguez to 2B
t1 0-0 1 --- 3,(1-1)  R KCR T. Graffanino J. Bonderman -9% 43% Home Run (Fly Ball to LF-CF)

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, Royals Batting, Tied 0-0, Tigers' Jeremy Bonderman facing 1-2-3
t1 0-0 0 --- 6,(2-2)  O KCR J. Gathright J. Bonderman 2% 52% Strikeout Looking
t1 0-0 1 --- 3,(1-1)  R KCR T. Graffanino J. Bonderman -9% 43% Home Run (Fly Ball to LF-CF)
t1 1-0 1 --- 4,(0-2)  O KCR D. DeJesus J. Bonderman 1% 44% Strikeout Swinging (C-1B)
t1 1-0 2 --- 4,(2-1)  KCR R. Sanders J. Bonderman -1% 43% Single to CF (Line Drive)
t1 1-0 2 1-- 3,(1-1)  KCR M. Stairs J. Bonderman -2% 41% Single to CF (Ground Ball); Sanders to 3B
t1 1-0 2 1-3 5,(2-2)  O KCR E. Brown J. Bonderman 4% 45% Groundout: SS-2B/Forceout at 2B
1 run, 3 hits, 0 errors, 2 LOB. Royals 1, Tigers 0.
Bottom of the 1st, Tigers Batting, Behind 0-1, Royals' Brandon Duckworth facing 1-2-3
b1 0-1 0 --- 4,(1-2)  O DET C. Granderson B. Duckworth -2% 43% Strikeout Looking
b1 0-1 1 --- 8,(3-2)  O DET P. Polanco B. Duckworth -2% 41% Flyball: RF
b1 0-1 2 --- 9,(2-2)  O DET I. Rodriguez B. Duckworth -1% 40% Groundout: 2B-1B
0 runs, 0 hits, 0 errors, 0 LOB. Royals 1, Tigers 0.
Top of the 2nd, Royals Batting, Ahead 1-0, Tigers' Jeremy Bonderman facing 7-8-9
t2 1-0 0 --- 3,(2-0)  KCR M. Teahen J. Bonderman -8% 32% Triple to RF (Line Drive to Deep RF)
t2 1-0 0 --3 4,(0-2)  O KCR A. Berroa J. Bonderman 4% 36% Strikeout Swinging
t2 1-0 1 --3 2,(0-1)  R KCR J. Buck J. Bonderman -5% 31% Single to CF (Ground Ball); Teahen Scores
t2 2-0 1 1-- 4,(2-1)  OO KCR J. Gathright J. Bonderman 4% 35% Ground Ball Double Play: 2B-1B-SS
1 run, 2 hits, 0 errors, 0 LOB. Royals 2, Tigers 0.
Bottom of the 2nd, Tigers Batting, Behind 0-2, Royals' Brandon Duckworth facing 4-5-6
b2 0-2 0 --- 5,(2-2)  O DET M. Ordonez B. Duckworth -3% 33% Popfly: 2B
b2 0-2 1 --- 4,(3-0)  DET C. Guillen B. Duckworth 3% 35% Walk
b2 0-2 1 1-- 3,(1-1)  O DET M. Thames B. Duckworth -3% 32% Flyball: LF
b2 0-2 2 1-- 4,(2-2)  O DET C. Monroe B. Duckworth -3% 30% Guillen Picked off 1B (P-1B)
0 runs, 0 hits, 0 errors, 1 LOB. Royals 2, Tigers 0.
Top of the 3rd, Royals Batting, Ahead 2-0, Tigers' Jeremy Bonderman facing 2-3-4
t3 2-0 0 --- 3,(0-2)  O KCR T. Graffanino J. Bonderman 2% 32% Foul Popfly: 3B (3B Foul)
t3 2-0 1 --- 3,(0-2)  O KCR D. DeJesus J. Bonderman 1% 33% Strikeout Swinging
t3 2-0 2 --- 5,(2-2)  O KCR R. Sanders J. Bonderman 1% 34% Strikeout Swinging
0 runs, 0 hits, 0 errors, 0 LOB. Royals 2, Tigers 0.
Bottom of the 3rd, Tigers Batting, Behind 0-2, Royals' Brandon Duckworth facing 7-8-9
b3 0-2 0 --- 11,(3-2)  O DET C. Monroe B. Duckworth -3% 31% Strikeout Looking
b3 0-2 1 --- 5,(3-1)  O DET C. Shelton B. Duckworth -2% 29% Flyball: CF
b3 0-2 2 --- 4,(1-2)  O DET B. Inge B. Duckworth -1% 28% Strikeout Swinging
0 runs, 0 hits, 0 errors, 0 LOB. Royals 2, Tigers 0.
Top of the 4th, Royals Batting, Ahead 2-0, Tigers' Jeremy Bonderman facing 5-6-7
t4 2-0 0 --- 4,(0-2)  O KCR M. Stairs J. Bonderman 2% 30% Strikeout Looking
t4 2-0 1 --- 2,(0-1)  KCR E. Brown J. Bonderman -3% 26% Double to LF (Line Drive to Deep LF Line)
t4 2-0 1 -2- 2,(0-1)  RR KCR M. Teahen J. Bonderman -12% 14% Home Run (Line Drive); Brown Scores
t4 4-0 1 --- 1,(0-0)  O KCR A. Berroa J. Bonderman 1% 15% Popfly: P
t4 4-0 2 --- 5,(3-1)  KCR J. Buck J. Bonderman -1% 14% Walk
t4 4-0 2 1-- 2,(1-0)  O KCR J. Gathright J. Bonderman 1% 16% Groundout: 1B unassisted
2 runs, 2 hits, 0 errors, 1 LOB. Royals 4, Tigers 0.
Bottom of the 4th, Tigers Batting, Behind 0-4, Royals' Brandon Duckworth facing 1-2-3
b4 0-4 0 --- 5,(2-2)  DET C. Granderson B. Duckworth 3% 19% Single to RF (Ground Ball)
b4 0-4 0 1-- 3,(2-0)  OO DET P. Polanco B. Duckworth -7% 12% Ground Ball Double Play: 3B-2B-1B
b4 0-4 2 --- 3,(2-0)  R DET I. Rodriguez B. Duckworth 6% 18% Home Run (Fly Ball to LF-CF)
b4 1-4 2 --- 2,(0-1)  O DET M. Ordonez B. Duckworth -1% 17% Flyball: CF
1 run, 2 hits, 0 errors, 0 LOB. Royals 4, Tigers 1.
Top of the 5th, Royals Batting, Ahead 4-1, Tigers' Jeremy Bonderman facing 2-3-4
t5 4-1 0 --- 7,(3-2)  KCR T. Graffanino J. Bonderman -2% 15% Walk
t5 4-1 0 1-- 3,(0-2)  O KCR D. DeJesus J. Bonderman 2% 17% Strikeout Looking
t5 4-1 1 1-- 3,(1-1)  O KCR R. Sanders J. Bonderman 2% 19% Groundout: 3B-2B/Forceout at 2B
t5 4-1 2 1-- 4,(3-0)  KCR M. Stairs J. Bonderman -1% 18% Walk; Sanders to 2B
t5 4-1 2 12- 6,(3-2)  O KCR E. Brown J. Bonderman 3% 20% Groundout: SS-1B
0 runs, 0 hits, 0 errors, 2 LOB. Royals 4, Tigers 1.
Bottom of the 5th, Tigers Batting, Behind 1-4, Royals' Brandon Duckworth facing 5-6-7
b5 1-4 0 --- 6,(2-2)  O DET C. Guillen B. Duckworth -3% 18% Groundout: 1B-P
b5 1-4 1 --- 5,(3-1)  DET M. Thames B. Duckworth 3% 21% Single to LF (Line Drive to LF Line)
b5 1-4 1 1-- 6,(2-2)  DET C. Monroe B. Duckworth 5% 25% Single to CF (Ground Ball); Thames to 2B
b5 1-4 1 12- 3,(2-0)  DET C. Shelton B. Duckworth 8% 33% Single to LF (Ground Ball); Thames to 3B; Monroe to 2B
b5 1-4 1 123 1,(0-0)  R DET B. Inge B. Duckworth 11% 44% Single to LF (Line Drive); Thames Scores; Monroe to 3B; Shelton to 2B
b5 2-4 1 123 1,(0-0)  RO DET C. Granderson B. Duckworth -0% 44% Groundout: 2B-1B; Monroe Scores; Shelton to 3B; Inge to 2B
b5 3-4 2 -23 5,(3-1)  RR DET P. Polanco B. Duckworth 25% 69% Reached on E5 (Ground Ball); Shelton Scores/unER/No RBI; Inge Scores/Adv on E5 (throw)/unER/No RBI; Polanco to 2B
b5 5-4 2 -2- 6,(3-2)  DET I. Rodriguez B. Duckworth 1% 69% Walk
Todd Wellemeyer replaces Brandon Duckworth pitching
b5 5-4 2 12- 6,(0-2)  R DET M. Ordonez T. Wellemeyer 10% 80% Single to LF (Ground Ball); Polanco Scores/unER; Rodriguez to 2B
b5 6-4 2 12- 4,(1-2)  O DET C. Guillen T. Wellemeyer -3% 77% Flyball: LF (LF Line)
5 runs, 5 hits, 2 errors, 2 LOB. Royals 4, Tigers 6.
Top of the 6th, Royals Batting, Behind 4-6, Tigers' Jeremy Bonderman facing 7-8-9
t6 4-6 0 --- 3,(0-2)  O KCR M. Teahen J. Bonderman 3% 80% Popfly: 3B
t6 4-6 1 --- 4,(0-2)  O KCR A. Berroa J. Bonderman 2% 82% Strikeout Swinging
t6 4-6 2 --- 5,(3-1)  KCR J. Buck J. Bonderman -2% 81% Walk
t6 4-6 2 1-- 8,(3-2)  KCR J. Gathright J. Bonderman -3% 78% Walk; Buck to 2B
Jason Grilli replaces Jeremy Bonderman pitching
t6 4-6 2 12- 4,(2-1)  O KCR T. Graffanino J. Grilli 6% 84% Groundout: 1B unassisted
0 runs, 0 hits, 0 errors, 2 LOB. Royals 4, Tigers 6.
Bottom of the 6th, Tigers Batting, Ahead 6-4, Royals' Todd Wellemeyer facing 6-7-8
b6 6-4 0 --- 7,(3-2)  O DET M. Thames T. Wellemeyer -1% 82% Flyball: LF
b6 6-4 1 --- 4,(2-1)  O DET C. Monroe T. Wellemeyer -1% 81% Lineout: SS
b6 6-4 2 --- 4,(1-2)  O DET C. Shelton T. Wellemeyer -1% 81% Groundout: P-1B
0 runs, 0 hits, 0 errors, 0 LOB. Royals 4, Tigers 6.
Top of the 7th, Royals Batting, Behind 4-6, Tigers' Fernando Rodney facing 3-4-5
Fernando Rodney replaces Jason Grilli pitching
t7 4-6 0 --- 1,(0-0)  O KCR D. DeJesus F. Rodney 4% 84% Groundout: SS-1B
t7 4-6 1 --- 1,(0-0)  O KCR R. Sanders F. Rodney 2% 87% Popfly: 2B
t7 4-6 2 --- 3,(2-0)  KCR M. Stairs F. Rodney -2% 85% Single to CF (Ground Ball)
t7 4-6 2 1-- 7,(2-2)  KCR E. Brown F. Rodney -3% 82% Single to LF (Line Drive to LF-CF); Stairs to 2B
t7 4-6 2 12- 3,(1-1)  O KCR M. Teahen F. Rodney 7% 88% Groundout: 2B-1B
0 runs, 2 hits, 0 errors, 2 LOB. Royals 4, Tigers 6.
Bottom of the 7th, Tigers Batting, Ahead 6-4, Royals' Todd Wellemeyer facing 9-1-2
b7 6-4 0 --- 5,(3-1)  DET B. Inge T. Wellemeyer 2% 90% Walk
b7 6-4 0 1-- 2,(0-1)  O DET C. Granderson T. Wellemeyer -1% 89% Bunt Groundout: P-2B/Sacrifice (Front of Home); Inge to 2B
b7 6-4 1 -2- 5,(0-2)  O DET P. Polanco T. Wellemeyer -1% 88% Groundout: 3B-1B; Inge to 3B
b7 6-4 2 --3 4,(1-2)  O DET I. Rodriguez T. Wellemeyer -2% 85% Flyball: CF (CF-RF)
0 runs, 0 hits, 0 errors, 1 LOB. Royals 4, Tigers 6.
Top of the 8th, Royals Batting, Behind 4-6, Tigers' Joel Zumaya facing 8-9-1
Joel Zumaya replaces Fernando Rodney pitching
Alexis Gomez replaces Marcus Thames playing LF batting 6th
t8 4-6 0 --- 1,(0-0)  KCR A. Berroa J. Zumaya -7% 79% Single to SS (Ground Ball)
t8 4-6 0 1-- 3,(1-1)  O KCR J. Buck J. Zumaya 6% 85% Flyball: CF
t8 4-6 1 1-- 5,(2-2)  O KCR J. Gathright J. Zumaya 5% 90% Strikeout Swinging
t8 4-6 2 1-- 3,(2-0)  O KCR T. Graffanino J. Zumaya 4% 94% Popfly: 2B
0 runs, 1 hit, 0 errors, 1 LOB. Royals 4, Tigers 6.
Bottom of the 8th, Tigers Batting, Ahead 6-4, Royals' Joel Peralta facing 4-5-6
Joel Peralta replaces Todd Wellemeyer pitching
b8 6-4 0 --- 5,(1-2)  O DET M. Ordonez J. Peralta -1% 93% Strikeout Swinging
b8 6-4 1 --- 7,(3-2)  DET C. Guillen J. Peralta 1% 94% Single to LF (Line Drive)
b8 6-4 1 1-- 4,(2-1)  DET A. Gomez J. Peralta 2% 96% Single to CF (Line Drive); Guillen to 3B; Gomez to 2B/Adv on throw
b8 6-4 1 -23 3,(0-2)  O DET C. Monroe J. Peralta -2% 94% Strikeout Swinging
b8 6-4 2 -23 5,(2-2)  O DET C. Shelton J. Peralta -2% 92% Strikeout Looking
0 runs, 2 hits, 0 errors, 2 LOB. Royals 4, Tigers 6.
Top of the 9th, Royals Batting, Behind 4-6, Tigers' Todd Jones facing 3-4-5
Todd Jones replaces Joel Zumaya pitching
t9 4-6 0 --- 6,(2-2)  O KCR D. DeJesus T. Jones 4% 96% Lineout: SS
t9 4-6 1 --- 5,(2-2)  O KCR R. Sanders T. Jones 3% 99% Strikeout Looking
t9 4-6 2 --- 4,(2-1)  O KCR M. Stairs T. Jones 1% 100% Groundout: 2B-1B
0 runs, 0 hits, 0 errors, 0 LOB. Royals 4, Tigers 6.

Retrosheet.org Boxscore:DET200607130
BackToBaseball.com Game Playback

Play-by-Play Explanation

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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
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  • 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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