Prof. Bukiet's

World Series Probabilities

Monday October 30

As we all now know, the Cards won the World Series in 5 games.

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Verlander 0 Rogers 1 Robertson 0 Bonderman 0 Verlander 0 - - - -
Cards Reyes 1 Weaver 0 Carpenter 1 Suppan 1 Reyes 1 - - - -

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Tigers 0 0 0 0 0
Cards 0 1 0 0 1

 

Friday October 27

For the World Series, we have (with Cards up 3-1): It doesn't look good for the Tigers.

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Verlander 0 Rogers 1 Robertson 0 Bonderman 0 Verlander .494 Rogers .663 Robertson .425
Cards Reyes 1 Weaver 0 Carpenter 1 Suppan 1 Reyes .506 Weaver .337 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Tigers 0 0 0 .139 .139
Cards 0 .506 .166 .188 .861

 

Wednesday October 25

(No change for Thursday)

For the World Series, we have (with Cards up 2-1):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Verlander 0 Rogers 1 Robertson 0 Bonderman .527 Verlander .494 Rogers .663 Robertson .425
Cards Reyes 1 Weaver 0 Carpenter 1 Suppan .473 Reyes .506 Weaver .337 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Tigers 0 0 .173 .178 .351
Cards 0 .239 .169 .241 .649

Tuesday October 24

For the World Series, we have (with series tied up 1-1):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Verlander 0 Rogers 1 Robertson .354 Bonderman .527 Verlander .494 Rogers .663 Robertson .425
Cards Reyes 1 Weaver 0 Carpenter .646 Suppan .473 Reyes .506 Weaver .337 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Tigers 0 .092 .229 .164 .485
Cards 0 .155 .137 .222 .515

Sunday October 22

For the World Series, we have (with Cards up 1-0):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Verlander 0 Rogers .663 Robertson .354 Bonderman .527 Verlander .494 Rogers .663 Robertson .425
Cards Reyes 1 Weaver .337 Carpenter .646 Suppan .473 Reyes .506 Weaver .337 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Tigers 0 .061 .172 .146 .380
Cards .103 .189 .130 .198 .620

 

Saturday October 21

For the World Series, we have (now that the prospective pitchers have been revised):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Verlander .568 Rogers .663 Robertson .354 Bonderman .527 Verlander .494 Rogers .663 Robertson .425
Cards Reyes .432 Weaver .337 Carpenter .646 Suppan .473 Reyes .506 Weaver .337 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Tigers .070 .139 .220 .133 .562
Cards .044 .111 .102 .180 .438

 

Thursday October 19

League Championship and World Series Probabilities

 

We will update probabilities and expected starters as the series progress

For the NLCS we have:

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander 1 Rogers 1 Bonderman 1            
A's Zito 0 Loaiza 0 Harden 0 Haren 0            
Mets Glavine 1 Maine 0 Trachsel 0 Perez 1 Glavine 0 Maine 1 Trachsel .541
Cards Weaver 0 Carpenter 1 Suppan 1 Reyes 0 Weaver 1 Carpenter 0 Suppan .459

If Perez starts for the Mets, the probabilities are: .471 for Mets and .529 for Cards.

If Oliver starts for the Mets, the probabilities are: .687 for Mets and .313 for Cards.

If Heilman starts for Mets, the probabilities are: .696 for Mets and .304 for Cards.

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers 1 0 0 0 1
A's 0 0 0 0 0
           
National League          
Cards 0 0 0 .459 .459
Mets 0 0 0 .541 .541

For the World Series, we have (we're guessing at the starters here):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Rogers .678 Bonderman .522 Robertson .355 Verlander .353 Rogers .589 Bonderman .522 Robertson .440
Mets Perez .322 Glavine .478 Maine .645 Oliver .647 Perez .411 Glavine .478 Maine .560
                             
Tigers Rogers .597 Bonderman .660 Robertson .354 Verlander .501 Rogers .522 Bonderman .660 Robertson .425
Cards Reyes .403 Weaver .340 Carpenter .646 Suppan .499 Reyes .478 Weaver .340 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Scenario 1:          
Tigers .044 .132 .169 .142 .487
Mets .064 .113 .155 .181 .513
           
Scenario 2:          
Tigers .070 .146 .221 .132 .570
Cards .044 .105 .102 .179 .430

So a Mets-Tigers series looks like a toss-up, with the Mets an ever so slight favorite, while a Cards-Tigers series gives the edge to the Tigers.

 

Wednesday October 18

We will update probabilities and expected starters as the series progress

For the NLCS we have:

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander 1 Rogers 1 Bonderman 1            
A's Zito 0 Loaiza 0 Harden 0 Haren 0            
Mets Glavine 1 Maine 0 Trachsel 0 Perez 1 Glavine 0 Maine .529 Trachsel .541
Cards Weaver 0 Carpenter 1 Suppan 1 Reyes 0 Weaver 1 Carpenter .471 Suppan .459

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers 1 0 0 0 1
A's 0 0 0 0 0
           
National League          
Cards 0 0 .471 .243 .714
Mets 0 0 0 .286 .286

For the World Series, we have (we're guessing at the starters here):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Rogers .678 Bonderman .522 Robertson .355 Verlander .353 Rogers .589 Bonderman .522 Robertson .440
Mets Perez .322 Glavine .478 Maine .645 Oliver .647 Perez .411 Glavine .478 Maine .560
                             
Tigers Rogers .597 Bonderman .660 Robertson .354 Verlander .501 Rogers .522 Bonderman .660 Robertson .425
Cards Reyes .403 Weaver .340 Carpenter .646 Suppan .499 Reyes .478 Weaver .340 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Scenario 1:          
Tigers .044 .132 .169 .142 .487
Mets .064 .113 .155 .181 .513
           
Scenario 2:          
Tigers .070 .146 .221 .132 .570
Cards .044 .105 .102 .179 .430

So a Mets-Tigers series looks like a toss-up, with the Mets an ever so slight favorite, while a Cards-Tigers series gives the edge to the Tigers.

 

Tuesday October 17

We will update probabilities and expected starters as the series progress

For the NLCS we have:

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander 1 Rogers 1 Bonderman 1            
A's Zito 0 Loaiza 0 Harden 0 Haren 0            
Mets Glavine 1 Maine 0 Trachsel 0 Perez 1 Glavine .609 Maine .529 Trachsel .541
Cards Weaver 0 Carpenter 1 Suppan 1 Reyes 0 Weaver .391 Carpenter .471 Suppan .459

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers 1 0 0 0 1
A's 0 0 0 0 0
           
National League          
Cards 0 0 .184 .227 .411
Mets 0 0 .322 .267 .589

For the World Series, we have (we're guessing at the starters here):

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Rogers .678 Bonderman .522 Robertson .355 Verlander .353 Rogers .589 Bonderman .522 Robertson .440
Mets Perez .322 Glavine .478 Maine .645 Oliver .647 Perez .411 Glavine .478 Maine .560
                             
Tigers Rogers .597 Bonderman .660 Robertson .354 Verlander .501 Rogers .522 Bonderman .660 Robertson .425
Cards Reyes .403 Weaver .340 Carpenter .646 Suppan .499 Reyes .478 Weaver .340 Carpenter .575

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
Scenario 1:          
Tigers .044 .132 .169 .142 .487
Mets .064 .113 .155 .181 .513
           
Scenario 2:          
Tigers .070 .146 .221 .132 .570
Cards .044 .105 .102 .179 .430

So a Mets-Tigers series looks like a toss-up, with the Mets an ever so slight favorite, while a Cards-Tigers series gives the edge to the Tigers.

League Championship Series Probabilities

Monday October 16

We will update probabilities and expected starters as the series progress

 

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander 1 Rogers 1 Bonderman 1            
A's Zito 0 Loaiza 0 Harden 0 Haren 0            
Mets Glavine 1 Maine 0 Trachsel 0 Perez 1 Glavine .609 Maine .529 Trachsel .541
Cards Weaver 0 Carpenter 1 Suppan 1 Reyes 0 Weaver .391 Carpenter .471 Suppan .459

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers 1 0 0 0 1
A's 0 0 0 0 0
           
National League          
Cards 0 0 .184 .227 .411
Mets 0 0 .322 .267 .589

 

Friday October 13

We will update probabilities and expected starters as the series progress

 

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander 1 Rogers .497 Bonderman .543 Robertson .571 Verlander .507 Rogers .429
A's Zito 0 Loaiza 0 Harden .503 Haren .457 Zito .429 Loaiza .493 Harden .571
Mets Glavine 1 Maine .529 Trachsel .460 Perez .382 Glavine .609 Maine .529 Trachsel .541
Cards Weaver 0 Carpenter .471 Suppan .540 Reyes .618 Weaver .391 Carpenter .471 Suppan .459

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers .270 .286 .175 .095 .825
A's 0 0 .049 .126 .175
           
National League          
Cards 0 .061 .120 .145 .326
Mets .093 .208 .202 .170 .674

Thursday October 12

We will update probabilities and expected starters as the series progress

 

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander .526 Rogers .514 Bonderman .561 Robertson .590 Verlander .526 Rogers .446
A's Zito 0 Loaiza .474 Harden .486 Haren .439 Zito .410 Loaiza .474 Harden .554
Mets Glavine .692 Maine .679 Trachsel .313 Perez .434 Glavine .611 Maine .679 Trachsel .394
Cards Weaver .308 Suppan .321 Carpenter .687 Marquis .566 Weaver .389 Suppan .321 Carpenter .606

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers .288 .294 .174 .090 .846
A's 0 0 .041 .112 .154
           
National League          
Cards .038 .084 .092 .187 .401
Mets .064 .172 .241 .121 .599

Wednesday October 11

We will update probabilities and expected starters as the series progress

(Note change in pitching order for Tigers).

 

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson 1 Verlander .526 Rogers .514 Bonderman .561 Robertson .590 Verlander .526 Rogers .446
A's Zito 0 Loaiza .474 Harden .486 Haren .439 Zito .410 Loaiza .474 Harden .554
Mets Glavine .692 Maine .679 Trachsel .313 Perez .434 Glavine .611 Maine .679 Trachsel .394
Cards Weaver .308 Suppan .321 Carpenter .687 Marquis .566 Weaver .389 Suppan .321 Carpenter .606

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers .152 .235 .194 .126 .707
A's 0 .041 .096 .156 .293
           
National League          
Cards .038 .084 .092 .187 .401
Mets .064 .172 .241 .121 .599

 

Monday October 9

We will update probabilities and expected starters as the series progress.

Team Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7
  Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter P(win) Starter (Pwin)
Tigers Robertson .522 Rogers .555 Bonderman .561 Verlander .485 Robertson .590 Rogers .555 Bonderman .493
A's Zito .478 Loaiza .445 Haren .439 Harden .515 Zito .410 Loaiza .445 Haren .507
Mets Glavine .692 Maine .679 Trachsel .313 Perez .434 Glavine .611 Maine .679 Trachsel .394
Cards Weaver .308 Suppan .321 Carpenter .687 Marquis .566 Weaver .389 Suppan .321 Carpenter .606

 

  Win in 4 Win in 5 Win in 6 Win in 7 P(win series)
American League          
Tigers .079 .166 .186 .151 .581
A's .048 .098 .126 .155 .419
           
National League          
Cards .038 .084 .092 .187 .401
Mets .064 .172 .241 .121 .599

 

 

Division Series Probabilities and Predictions

Sunday October 8

We will update probabilities and expected starters as the series progress.

Team Game 1 starter Game 2 starter Game 3 starter Game 4 starter Game 5 starter
DET - Tigers Robertson Verlander Rogers Bonderman  
NYY - Yankees Wang Mussina Johnson Wright  
OAK - A's Zito Loaiza Haren    
MIN - Twins Santana Bonser Radke    
LAD - Dodgers Lowe Kuo Maddux    
NYM - Mets Maine Glavine Trachsel    
SDP - Padres Peavy Wells Young Williams Peavy
STL - Cards Carpenter Weaver Suppan Carpenter Weaver

 

    Win in 3 Win in 4 Win in 5 P(win series)
American League          
Detroit won 3-1 Tigers vs. Yankees - Tigers win
  Tigers vs. Yankees - Yankees win
A's won 3-0 A's vs. Twins - A's win
  A's vs. Twins - Twins win
National League          
Mets won 3-0 Dodgers vs. Mets - Dodgers win
  Dodgers vs. Mets - Mets win
Cards up 2-1 Cards vs. Padres - Cards win 0 0.596 0.118 0.714
  Cards vs. Padres - Padres win 0 0 0.286 0.286

 

Friday October 6

We will update probabilities and expected starters as the series progress.

Team Game 1 starter Game 2 starter Game 3 starter Game 4 starter Game 5 starter
DET - Tigers Robertson Verlander Rogers Bonderman Robertson
NYY - Yankees Wang Mussina Johnson Wright Wang
OAK - A's Zito Loaiza Haren Harden Zito
MIN - Twins Santana Bonser Radke Silva Santana
LAD - Dodgers Lowe Kuo Maddux Penny Lowe
NYM - Mets Maine Glavine Trachsel Perez pitching change Glavine
SDP - Padres Peavy Wells Young Williams Peavy
STL - Cards Carpenter Weaver Suppan Carpenter Weaver

 

    Win in 3 Win in 4 Win in 5 P(win series)
American League          
Series tied 1-1 Tigers vs. Yankees - Tigers win 0 0.223 0.161 0.384
  Tigers vs. Yankees - Yankees win 0 0.277 0.339 0.616
A's up 2-0 A's vs. Twins - A's win 0.571 0.295 0.035 0.901
  A's vs. Twins - Twins win 0 0 0.099 0.099
National League          
Mets up 2-0 Dodgers vs. Mets - Dodgers win 0 0 0.251 0.251
  Dodgers vs. Mets - Mets win 0.308 0.216 0.225 0.749
Cards up 2-0 Cards vs. Padres - Cards win 0.407 0.353 0.070 0.830
  Cards vs. Padres - Padres win 0 0 0.170 0.170

Thursday October 5

We will update probabilities and expected starters as the series progress.

Team Game 1 starter Game 2 starter Game 3 starter Game 4 starter Game 5 starter
DET - Tigers Robertson Verlander Rogers Bonderman Robertson
NYY - Yankees Wang Mussina Johnson Wright Wang
OAK - A's Zito Loaiza Haren Harden Zito
MIN - Twins Santana Bonser Radke Silva Santana
LAD - Dodgers Lowe Kuo Maddux Penny Lowe
NYM - Mets Maine Glavine Trachsel Maine Glavine
SDP - Padres Peavy Wells Young Williams Peavy
STL - Cards Carpenter Weaver Suppan Carpenter Weaver

 

    Win in 3 Win in 4 Win in 5 P(win series)
American League          
Yankees up 1-0 Tigers vs. Yankees - Tigers win 0 0.068 0.099 0.167
  Tigers vs. Yankees - Yankees win 0.385 0.239 0.209 0.833
A's up 2-0 A's vs. Twins - A's win 0.571 0.295 0.035 0.901
  A's vs. Twins - Twins win 0 0 0.099 0.099
National League          
Mets up 1-0 Dodgers vs. Mets - Dodgers win 0 0.162 0.220 0.382
  Dodgers vs. Mets - Mets win 0.164 0.256 0.198 0.618
Cards up 1-0 Cards vs. Padres - Cards win 0.163 0.287 0.118 0.568
  Cards vs. Padres - Padres win 0 0.144 0.288 0.432

Wednesday October 4

We had to guess some of the pitching matchups and will update as the series progress.

Team Game 1 starter Game 2 starter Game 3 starter Game 4 starter Game 5 starter
DET - Tigers Robertson Verlander Rogers Bonderman Robertson
NYY - Yankees Wang Mussina Johnson Wright Wang
OAK - A's Zito Loaiza Haren Harden Zito
MIN - Twins Santana Bonser Radke Silva Santana
LAD - Dodgers Lowe Kuo Maddux Penny Lowe
NYM - Mets Maine Glavine Trachsel Maine Glavine
SDP - Padres Peavy Wells Young Williams Peavy
STL - Cards Carpenter Weaver Suppan Carpenter Weaver

 

    Win in 3 Win in 4 Win in 5 P(win series)
American League          
  Tigers vs. Yankees - Tigers win 0 0.068 0.099 0.167
  Tigers vs. Yankees - Yankees win 0.385 0.239 0.209 0.833
  A's vs. Twins - A's win 0.223 0.355 0.090 0.668
  A's vs. Twins - Twins win 0 0.081 0.251 0.332
National League          
  Dodgers vs. Mets - Dodgers win 0.154 0.208 0.200 0.562
  Dodgers vs. Mets - Mets win 0.086 0.173 0.180 0.438
  Cards vs. Padres - Cards win 0.163 0.287 0.118 0.568
  Cards vs. Padres - Padres win 0 0.144 0.288 0.432

Thus, we see that things don't look so good for our heroes (the Mets). Now that the pitchers are listed for the later games (according to Yahoo!) and the first game has been played in most cases, the numbers have changed quite a bit. With Maine on the mound in 2 games, the Mets chances actually increase!!!

 

Tuesday October 3

Division Series Probabilities and Predictions
We had to guess some of the pitching matchups and will update as the series progress.

Team Game 1 starter Game 2 starter Game 3 starter Game 4 starter Game 5 starter
DET - Tigers Robertson Verlander Rogers Robertson Verlander
NYY - Yankees Wang Mussina Johnson Wang Mussina
OAK - A's Zito Loaiza Haren Zito Loaiza
MIN - Twins Santana Bonser Radke Santana Bonser
LAD - Dodgers Lowe Kuo Maddux Penny Lowe
NYM - Mets Hernandez Glavine Trachsel Maine Hernandez
SDP - Padres Peavy Young Wells Peavy Young
STL - Cards Carpenter Suppan Weaver Carpenter Suppan

For the various possible first round series, we have the following probabilities of winning each match-up (second team listed has home field advantage):

    Win in 3 Win in 4 Win in 5 P(win series)
American League          
  Tigers vs. Yankees - Tigers win 0.044 0.096 0.099 0.238
  Tigers vs. Yankees - Yankees win 0.261 0.274 0.227 0.762
  A's vs. Twins - A's win 0.059 0.100 0.137 0.295
  A's vs. Twins - Twins win 0.192 0.300 0.213 0.705
National League          
  Dodgers vs. Mets - Dodgers win 0.171 0.213 0.199 0.583
  Dodgers vs. Mets - Mets win 0.077 0.163 0.176 0.417
  Cards vs. Padres - Cards win 0.077 0.183 0.124 0.383
  Cards vs. Padres - Padres win 0.179 0.186 0.256 0.617

Thus, we see that things don't look so good for our heroes (the Mets). The Yankees and Twins look pretty much like shoo-ins to the League Championship Series.