Since i just impressed myself with how big a number a billion is, i remembered a "fun" fact about playing cards.
Did you know that when you shuffle a deck of cards, you are with 99.99% certainty ending up with unique order that has never happened before.
So, how big is the number of combinations for a deck of cards? Well, its big, like really big.
I've seen a a really good explanation of how big 52! actually is.
- Set a timer to count down 52! seconds (that's 8.0658x1067 seconds)
- Stand on the equator, and take a step forward every billion years
- When you've circled the earth once, take a drop of water from the Pacific Ocean, and keep going
- When the Pacific Ocean is empty, lay a sheet of paper down, refill the ocean and carry on.
- When your stack of paper reaches the sun, take a look at the timer.
The 3 left-most digits won't have changed. 8.063x1067 seconds left to go. You have to repeat the whole process 1000 times to get 1/3 of the way through that time. 5.385x1067 seconds left to go.
So to kill that time you try something else.
- Shuffle a deck of cards, deal yourself 5 cards every billion years
- Each time you get a royal flush, buy a lottery ticket
- Each time that ticket wins the jackpot, throw a grain of sand in the grand canyon
- When the grand canyon's full, take 1oz of rock off Mount Everest, empty the canyon and carry on.
- When Everest has been levelled, check the timer.
There's barely any change. 5.364x1067 seconds left. You'd have to repeat this process 256 times to have run out the timer.