The other day, I was talking with some friends about the absurdity of the US No-Fly List. Simple statistics show how ridiculous the whole thing is.
Let’s use the following assumptions.
- Government bureaucrats are 5x more accurate than random in creating a profile of the next airline terrorist. Actually, this is far too generous. Statistical profiling in other kinds of crime is not this good, and since there have been so few hijackings, it’s unlikely we will be able to build a better profile of hijackers than we are of say, drug users or armed robbers. The best profiles in these areas claim only about 2x or 3x random.
In fact, considering that two Congressmen, a Senator, a 72-year-old nun and numerous children under five have already wound up on the list, 5x random is clearly ridiculous, but I want to show how poorly the list performs with even the most wildly optimistic assumptions.
- There are 100 evil-doers that the police don’t know about lurking in American and planing to blow up airplanes. Again, I suspect this is a huge over-estimate.
- The no-fly list has 80,000 names on it. No one knows the exact number, but this represents the upper range of what has been reported.
- There are 300 million people in the United States.
Now, when a would-be terrorist tries to board a plane, what are the odds that his name is on the list? If the list were truly random, the chance would be
80,000 names / 300 million people = 0.0267%
However, with the government’s improved profiling, the odds become 0.13%. In other words, even with our overly-optimistic assumptions, our future terrorist is 99.87% likely to be able to simply walk on the plane.
Let’s take a bit further. The odds of there being any future terrorists at all on the No-Fly List can be calculated as a simple binomial distribution
Σ nip
where
n = The number of terrorists = 100
p = probability that an individual terrorist is on the list = 0.0013
This equation reduces to n*p and we see that even using extremely optimistic assumptions there is only a 13% chance that the No-Fly List contains the name of even a single future terrorist.
There is a 87% chance that the list doesn’t contain even one terrorist!
But it gets worse still. Even if freedom-loving Americans are willing to give up some of their freedoms for a 0.13% increase in safety, the odds just aren’t that good.
For the No-Fly List to have any positive effect on our safety all of the following must be true:
- The plot must involve purchasing a ticket.
- The terrorist must buy the ticket using his real name.
- Not only must this terrorist’s name be on the list (0.13% chance) but the name has to have been added after the last time this terrorist tried to board an airplane. Otherwise he would know he is on the no-fly list, and one of his buddies could take his place.
- The plot must not be detected by any of the other safety measures in place. (Otherwise, it would not be the list that was responsible.)
These events are overwhelmingly improbable. Why are we wasting time and resources on something that is not only completely useless, but inconvenience tens of thousands of innocent Americans?