I'm Comin'
Home Again
The poets cry
for dreams they never saw
The only certainty is nothing sure
And nothing stays the same
Go back where they came
Forget about certainty, is dominance
sure?
There is a difference between dominance and certainty. Dominance
is about who won a game or series. Certainty is about whether that winner is also
expected to win again. If a game is Heads I Win/Tails You Lose,
there will always be a winner, and that winner will show dominance. But just because
there is a winner in one game, it does not mean that this winner is going to
win the next game or series. In a one game series, the probability is 100% that there will be a dominant
winner, but there is only a 50% chance that the dominant winner will win the
next game. That is why there are multi-game series. As the number of games increases,
the chances that the winner of the series will also win the next game also increases.
The table below shows the dominance and certainty of the outcome of a series of
games based on the record of that series. For example in
a 5-game series, there is a 100% chance that the winner of a 4-3 series shows dominance,
but there is only a 73% chance that this dominant winner will win the next
series. A 0-7 record in a 7-game series means
that there is a 99.22% chance that the loser
with that record will also lose the next game.
Games |
Games |
Games |
Games |
||||||||
1 |
Dominance |
Certainty |
3 |
Dominance |
Certainty |
5 |
Dominance |
Certainty |
7 |
Dominance |
Certainty |
1-0 |
100% |
50.00% |
3-0 |
100% |
87.50% |
5-0 |
100% |
96.88% |
7-0 |
100% |
99.22% |
0-1 |
0% |
50.00% |
2-1 |
100% |
62.50% |
4-1 |
100% |
84.38% |
6-1 |
100% |
94.53% |
1-2 |
0% |
62.50% |
3-2 |
100% |
68.75% |
5-2 |
100% |
83.59% |
|||
0-3 |
0% |
87.50% |
2-3 |
0% |
68.75% |
4-3 |
100% |
72.66% |
|||
1-4 |
0% |
84.38% |
3-4 |
0% |
72.66% |
||||||
0-5 |
0% |
96.88% |
2-5 |
0% |
83.59% |
||||||
1-6 |
0% |
94.53% |
|||||||||
0-7 |
0% |
99.22% |
Series |
Dominant is Certain |
3 games |
45.83% |
5 games |
59.79% |
7 games |
70.31% |
9 |
Dominance |
Certainty |
9-0 |
100% |
99.80% |
8-1 |
100% |
98.24% |
7-2 |
100% |
92.97% |
6-3 |
100% |
83.59% |
5-4 |
100% |
75.39% |
4-5 |
0% |
75.39% |
3-6 |
0% |
83.59% |
2-7 |
0% |
92.97% |
1-8 |
0% |
98.24% |
0-9 |
0% |
99.80% |
This also holds true for jury votes. A 12-member jury which reaches a unanimous decision of Not Guilty is 99.98% certain. However unless there is an infinite number of members on that jury, the certainty will always be less than 100%. The goal in jury trials is to achieve as close to certainty as possible. Should that not also be the case in Supreme Court decisions? The goal is to increase certainty, not decrease it. A 5-4 opinion which overturns a 7-2 opinion decreases certainty. It does not increase it.
Dominance is BACKWARD looking. Certainty is FORWARD looking.
Is there any wonder that MAGA (where the
second “A” stands for “Again”) wants to return to Trial by Combat which can
only show dominance? This was abandoned in the Middle Ages which is longer than
even MAGA generally considers.