But in the vastness of space, it was practically guaranteed to happen somewhere.
Do we know this for sure?
When we thoroughly shuffle a deck of 52 cards, we’re almost certainly creating a new deck order that has never been seen before and will likely never be seen again in a random shuffle.
The number 52! is 8 x 10^67, so large that we can make the equivalent of a billion (1 x 10^9 ) shuffles per second per person on earth (8 x 10^9 ), so that in any given millennium (3.15 x 10^10 seconds) we’ve covered a percentage so small it’s got 36 leading zeros after the decimal point for the percentage, or 38 leading zeroes for the ratio itself.
My impression is that factorial expansion for probabilities moves up much faster than the vastness of space itself, but I don’t know how to calculate the probabilities of each of these priors.
Do we know this for sure?
When we thoroughly shuffle a deck of 52 cards, we’re almost certainly creating a new deck order that has never been seen before and will likely never be seen again in a random shuffle.
The number 52! is 8 x 10^67, so large that we can make the equivalent of a billion (1 x 10^9 ) shuffles per second per person on earth (8 x 10^9 ), so that in any given millennium (3.15 x 10^10 seconds) we’ve covered a percentage so small it’s got 36 leading zeros after the decimal point for the percentage, or 38 leading zeroes for the ratio itself.
My impression is that factorial expansion for probabilities moves up much faster than the vastness of space itself, but I don’t know how to calculate the probabilities of each of these priors.
Some people are bad at shuffling though. It’s not like they actually randomize the deck perfectly each time.