Actual times home team won under various inning/score situations. Results based on empirical data from 1979 to 1990 compiled by Phil Birnbaum.
The first cell is read as "The home team, in the top of the 1st, with 0 outs and bases empty, down by 4, won 24.4% of its games".
See also Probability Theory: both teams equals, no HFA
See also Probability Theory: both teams equals, with HFA
Home Score Differential | ||||||||||
Inning | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | |
Top | 1 | 0.244 | 0.280 | 0.360 | 0.456 | 0.542 | ||||
Bottom | 1 | 0.211 | 0.328 | 0.381 | 0.488 | 0.589 | 0.685 | 0.752 | 0.859 | 0.960 |
Top | 2 | 0.165 | 0.262 | 0.308 | 0.420 | 0.532 | 0.645 | 0.745 | 0.823 | 0.885 |
Bottom | 2 | 0.194 | 0.261 | 0.337 | 0.460 | 0.579 | 0.693 | 0.786 | 0.848 | 0.937 |
Top | 3 | 0.142 | 0.215 | 0.296 | 0.404 | 0.528 | 0.656 | 0.764 | 0.831 | 0.895 |
Bottom | 3 | 0.170 | 0.238 | 0.341 | 0.461 | 0.575 | 0.705 | 0.804 | 0.868 | 0.934 |
Top | 4 | 0.120 | 0.196 | 0.276 | 0.395 | 0.522 | 0.656 | 0.771 | 0.847 | 0.923 |
Bottom | 4 | 0.139 | 0.220 | 0.314 | 0.447 | 0.584 | 0.725 | 0.829 | 0.893 | 0.935 |
Top | 5 | 0.098 | 0.159 | 0.245 | 0.363 | 0.528 | 0.682 | 0.791 | 0.875 | 0.919 |
Bottom | 5 | 0.117 | 0.179 | 0.278 | 0.419 | 0.592 | 0.743 | 0.853 | 0.912 | 0.942 |
Top | 6 | 0.081 | 0.132 | 0.222 | 0.342 | 0.526 | 0.691 | 0.816 | 0.903 | 0.936 |
Bottom | 6 | 0.087 | 0.156 | 0.260 | 0.402 | 0.599 | 0.773 | 0.875 | 0.938 | 0.967 |
Top | 7 | 0.052 | 0.094 | 0.176 | 0.305 | 0.517 | 0.729 | 0.854 | 0.927 | 0.962 |
Bottom | 7 | 0.072 | 0.109 | 0.213 | 0.352 | 0.609 | 0.821 | 0.916 | 0.961 | 0.980 |
Top | 8 | 0.040 | 0.055 | 0.119 | 0.245 | 0.521 | 0.780 | 0.899 | 0.952 | 0.975 |
Bottom | 8 | 0.051 | 0.067 | 0.141 | 0.294 | 0.634 | 0.899 | 0.954 | 0.987 | 0.991 |
Top | 9 | 0.017 | 0.026 | 0.066 | 0.151 | 0.518 | 0.873 | 0.944 | 0.979 | 0.989 |
Bottom | 9 | 0.017 | 0.034 | 0.076 | 0.189 | 0.649 | ||||