A baseball game consists of plays that can be described as follows:
Play Description
No advance An out where no runners advance. This includes strikeouts, pop ups, short flies, and the like.
Groundout All runners can advance one base.
Possible double play Double play if there is a runner on first base and fewer than two outs. The lead runner can be forced out; runners not out advance one base. If there is no runner on first or there are two outs this play is treated as a “no advance.”
Long fly A runner on third base can score.
Very long fly Runners on second and third base advance one base.
Walk Includes a hit batter.
Infield single All runners advance one base.
Outfield single A runner on first base advances one base, but a runner on second or third base scores.
Long single All runners can advance a maximum of two bases.
Double Runners can advance a maximum of two bases.
Long double All runners score.
Triple
Home run
Distributions for these plays for two teams, the White Sox (visitors) and the Yankees (home), are as follows:
Team: White Sox
Play Probability
No advance .........0.03
Groundout ..........0.39
Possible double play .........0.06
Long fly ...........0.09
Very long fly..........0.08
Walk ...............0.06
Infield single ...........0.02
Outfield single ...........0.10
Long single ..........0.03
Double ............0.04
Long double ............0.05
Triple ..............0.02
Home run ..........0.03
1.00
Team: Yankees
Play Probability
No advance ..............0.04
Groundout .............0.38
Possible double play .........0.04
Long fly ..............0.10
Very long fly ............0.06
Walk ................0.07
Infield single ............0.04
Outfield single ............0.10
Long single .............0.04
Double ...............0.05
Long double ............0.03
Triple .................0.01
Home run .............0.04
1.00
Simulate a nine-inning baseball game using this information.