"By analogy, a person has a "near-zero" 1 in 15,000 probabity of ever being struck by lightning in their lifetime. Yet each year in the US, 300 people are struck by lightning. It would be ridiculous to conclude they were not struck by lightning on the balance of probability."(quote)
You have just shown you have no idea what "the balance of probability" means. The chance of being struck by lightning is very very low probability - 1 in 15000 chance in a person's lifetime, according to your statistic. This very low probability is demonstrated by the fact that few are. That some are struck by lightning does not show that it occurs "on the balance of probability" but against all probability. It is not a "probable" occurrence. It remains a rarity. The "balance of probability" means the relevant facts point to a particular outcome or conclusion as being more likely than not. That is not being "struck by lightning", which has become a metaphor for that which is pure chance and extremely unlikely. If Houlihan had tested positive from a contaminated burrito that would have been akin to being struck by lightning. The chances were assessed as extremely low and she couldn't produce evidence showing that was what happened. The "balance of probability" led to a conclusion she therefore intentionally doped because of the lack of evidence of accidental contamination. Because you have shown don't understand what that means you still have no idea how the Court came to that conclusion.