Added by: ~jugglerbri, 2015 IV 08

Added by: ~jugglerbri, 2015 IV 08

I decided I wanted to calculate the probabilty that in a group of randomly shuffled deck of cards, that two decks have the exact same order. No calculator I could find could handle that large of a number (52!!) until I found your online calculator.

Just because I think it's cool (and I would like someone to double check my math), I decided to make a worse case scenario and assume that every single person ever on this planet (estimated to be 100 billion people) shuffled a deck of cards once every second continuously for 100 years, what's the probability that two of those decks are the same? Here's the formula I used:

1-factorial(factorial(52))/(factorial(52)^(3.15*10^20))/(fac torial(factorial(52)-(3.15*10^20)))

Which, written out looks a little more like:

1-(52!!)/{(52!^3.15e20)*[(52!-3.15e20)!]}