Having something on a security recording can be classed as "hard evidence".The case in question was one of using circumstantial evidence alone to "statistically" decide whether she was guilty or not.
And yet, aren't all types of hard evidence really just probabilistic as well? For example, there is a non-zero probability that the murderer on the security camera is merely a person with an amazing physical similarity to the defendant. If we could develop an accurate mathematical model of human physical features, we could even estimate the probability that we're looking at a double and not the defendant.
Likewise, when a DNA match is used in court, the forensic scientist typically testifies to the probability of a false match. Once again, the evidence is probabilistic.
In both of these cases, the probability of a mistake is low. But it is non-zero, and it can be quanitified--if not with current technology, then at least in principle.
So, you will never get away from deciding cases probabilistically. And if you simply refuse to assign numerical probabilities to anything even when the circumstances readily permit it, you're not increasing your chance of being right, you're just sticking your head in the sand.