Taco Bell's statistically invalid promotion
So Jacoby Ellsbury just stole second base in game 2 of the world series. Taco Bell has a promotion that says everybody in the United States can have a free taco.
This has to be one of the most horseshit offers ever, both in spirit and statistical impossibility.
Lets look at the numbers.
Also, there's a rumor that Taco Bell taco meat isn't really beef at all (hence, that's why they call it "meat". It being made from "whatever" meaty goodness is in the scraps pile.) This is of course ridiculous. I'm pretty sure Taco Bell meat is made from 100% USDA Beef.
This has to be one of the most horseshit offers ever, both in spirit and statistical impossibility.
Lets look at the numbers.
- Offer is limited to 2-5pm local time on October 30, 2007. (180 minutes)
- Of course, most people are at work between 2 and 5 pm on a Tuesday. This is the "horseshit in spirit" reasoning. The MLB broadcasters even mentioned that they'd serve more between 2 and 5 AM.
- As of July, 2007, there were 301,139,945 people in the United states. (source)
- 202,360,787 between ages 14 and 65
- 12% live in poverty. Poor people are more likely to give a shit about a free Taco Bell Taco. 12% of the US population is 36,136,793
- The last 5 times I went to Taco Bell, it took them 5-10 minutes to complete my order.
- Lets be generous and say that they could turn around an order in 5 seconds, assuming everybody is just getting their free taco and nothing else, and that everybody pays attention and moves forward in line in an assembly line fashion.
- Lets be more generous and pretend that each store just continuously cranks out tacos and puts them in a big pile at the register, and everybody can just take one and go. Conceivably (but not practically) they could deliver 90 per minute, if every customer was running in unison through the queue and grabbed their free taco with the skill and precision of a relay racer receiving the baton handoff.
- As of 2006, there were 5,608 Taco Bell locations in the United States. (source) The numbers have been in decline for the past several years, and Taco Bell's food continues to suck, so there's no good reason to assume that that number has increased significantly in 2007. Again, though, we'll be generous and round up to an even 6000.
- So using the actual numbers and realistic estimates from above, 5608 stores can serve a taco every 5 seconds (12 per minute) for 180 minutes.
- 5806 x 12 x 180 = 12,540,960 tacos available.
- So there's no way "everybody in America" is eligible. They can't statistically be eligible. Not all of them. Each of them, individually, can *think* they're eligible. But they'll be wrong. Most of them can't be.
- Statistically, 96% of America is ineligible for this promotion.
- In other words: Look at the 12 people on your left. Look at the 12 people to your right. One of you is eligible.
- Remember, there's 36 million people living in poverty. That's only enough for 1 out of every 3 poor people.
- Using those generous numbers from above... 6000 stores can each serve 90 tacos per minute for 180 minutes.
- 6000 x 90 x 180 = 97.2 million tacos available.
- Again, there's no way that everybody in America is eligible. We're up to about 33% of the population give or take. Close to half the if you only include ages 14-65, but that's only if you concede that old people and kids don't matter, you ageist jerk.
- So now, look to your left, and look to your right. Now "only" 2 of you aren't eligible.
- 1 of you is eligible if you knock over the little kid or grandma next to you. (ageist jerks only.)
- Taco Bell states that 100% of America is eligible for this promotion.
- The actual number is closer to 4%
- Thus, Taco Bell is confused about the difference between 100% and 4%.
Also, there's a rumor that Taco Bell taco meat isn't really beef at all (hence, that's why they call it "meat". It being made from "whatever" meaty goodness is in the scraps pile.) This is of course ridiculous. I'm pretty sure Taco Bell meat is made from 100% USDA Beef.
Labels: food, math, stuff that makes me mad

