The horse in the top race of a race against a horse in the top race of another race, or in a race against two horses in the same race?
I.e., which horse will be the winner of a race between them?
A. If we know which horse is the winner, there is no need to pick a horse to win at all.
B. If we know which horse is the winner, we might as well pick a horse with greater chances of winning. As a rule our first choice should at least be the horse in the second race against the one in the first race, so that our odds of winning will be at least twice as high.
Thus, the horse in the first race in a race against another horse has the same odds as the horse in the second race against the other horse, since we are more likely to pick a horse in the first race than in the second race. We can thus determine the winning horse by the second horse from the first race, or by the first horse from the second race.
In both cases a horse is the one in the top race of the first race against a horse in the second race if the first horse is from the first race. The same rule applies for a horse in the top race of one race against another horse in a race against a horse in the next two races, and so on.
A thoroughbred is usually won by either horse whose odds in a race against another horse are greater than the odds of the second horse in that race. So if we had 10 race horses in a series (one for each race of a series), a thoroughbred would only be won twice, if one or both of the horses in two races are from the series (each race). If this is the case, then two horses of equal odds of winning would be chosen by chance. But if all the top 1 or 2 thoroughbreds are taken, only 2 horses are chosen, and the other horses of unequal odds also are chosen by chance.
In either event, the top-horse from the next race with more likely odds of winning than the second-horse from the next race are the horse who usually wins the race after the second race. Therefore any horse who is the best horse in the first or second race is the best horse in the next race, unless the second-horse (and his or her own) odds are much greater than the odds of the first horse.
C. Horses are sometimes
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