Some Meta-Puzzles to Get You Thinking (Try To Spend No More Than 60 Seconds Per Puzzle)
The Cat-Dog Paradox
A hypothetical reality exists where being a cat and a dog are mutually exclusive
Transitions between a cat ⮂️ dog also have a zero probability
However, becoming a cat or a dog from your initial state has a non zero equal probability
Over an infinite period of time, in a linear singular reality, assuming someone currently exists in a state of being neither a cat or a dog. Assuming that no other factors affects probabilities, is the below statement true, false, or is there not enough information to determine answer?
You don't become a cat or a dog, you remain the same
Infinite Boxes
An infinite number of boxes exist
One box has £1 million
Remaining boxes have nothing
You can open as many boxes as you want, 1 million at a time in bulk, in any order
If you open an empty box, the game ends immediately, otherwise you win
You are told that the box with £1 million is most likely within the first 10 boxes
Is there a strategy that can slightly improve your chances of winning?
Josh, John
Josh has 2 sons, John and Josh
He says, one of his sons is a doctor, the other is a lawyer
John says he's a lawyer, the probability of Josh, the son, being the doctor is 100%
Is the following statement true or false?
The probability of John being the lawyer is 100%
Infinite Lock Puzzle
There's a lock which can only be accessed via a passcode
There's an infinite number of possible passcodes, every number, character, symbol, and letter that's ever existed and will exist can be a digit for the passcode entry
The passcode is 5 digits long. Is the following statement true or false?
If I have an infinite number of attempts, I'll eventually enter the correct password