Mathematical randomness can describe an enormous range of behaviour, including shuffling. Shuffling is sampling without replacement. Rolling a die repeatedly

Mathematical randomness can describe an enormous range of behaviour, including shuffling. Shuffling is sampling without replacement. Rolling a die repeatedly is sampling with replacement (imagine the numbers 1-6 written on cards and mixed together in a bag; to get a die's behaviour you need to put a card you draw out and look at back again before the next draw).