I never understood this example used to explain it, vsauce made a video on the banach tarski theorem.

You make an infinite list of numbers between 0 and 1 chosen at random. Apparently you can make a new number that was never seen in the list before if you pick a digit from each number in the list and add one to it.

Say the list has numbers 0.36285728.. 0.95825597.. 0.47264112.. .. I can make a new number by taking the 3 from the first number the 5 from the second and the 2 from the third num and so on. 0.463.. I never understood