Tuesday, December 7, 2010

Fuzzy Math at Wendy's


So the funny thing about this photo is that they put someone actually paid attention in class. If you're relatively familiar with statistics, you know that 256 should seem a little low. Well, by MY MATH, and someone who did pay attention in math class,

There are 9 different items you can put on a hamburger (mayo, mustard, ketchup, lettuce, tomato, pickles, onions, cheese, and bacon), there are also 3 different size burgers (1, 2, or 3 patties)

That comes out to roughly 1,088,640 assuming you don't do anything crazy like no buns, double buns, ranch, etc.

It seems like Wendy's just did a simple on/off probability, but failed to consider all the different combinations that could be possible.


2 comments:

Chet said...

This is awesome. I've seen that cup before, but never actually thought about the number.

Did you attempt to get 256?

Sports Economist said...

For the 256, they identified 8 toppings, and just did a binomial style probability. Basically, They looked at it as, for tomatoes, they're either on or off, for lettuce, it's either on or off. So there are 2 options for each topping, or 2^8=256.

They failed to consider all the real combination that could happen, so what you really want to do, with 9 toppings, is act like their are nine spots on the hamburger:

9 options for the first spot, 8 for the second, 7 for the third, and so on, which gives you 9! then there are 3 "types" based on number of patties.