@bytebro
To amplify a little more on the subject... the real-world odds don’t necessarily match the solid math.

EXAMPLE 1: Consider the myth of it taking 100 years to crack a password of a certain length by brute force methods. If someone chooses a password like aaaaaaaaaaaaaaaaaab, and the brute force tool starts with “a” and works up in alphabetical order, the password will be cracked quicker than zzzzzzzzzzzzzzzzzzy. And if the brute force tool is itself random, any password of any length may be cracked in the first ten attempts. In other words, cracking every password in a series won’t take the same length of time as the longest cracking time. In fact, only one password takes the longest cracking time.

EXAMPLE 2: You may be familiar with the Birthday Paradox. If there are 23 people in a room, there’s a 50 percent chance that two of them have the same birthday (month/day, not year/month/day). When there are 60 people in the same room, the odds of a duplicate birthday are over 99 percent.

So, while there are lots of combinations for the cards in the deck, we’ll never be sure if a duplicate happens or not. There’s no law in physics (or mathematics) that says all combinations of cards must occur before any combination can occur again.

@bytebro

Shades of #KostyaKimlat, who practiced for decades before trying to fool Penn and Teller by simple dint of just doing exactly the almost impossible feat xe said xe was going to do in the patter, without any tricks.

https://youtube.com/v/Lx1P1YA2rlA

#CardMagic