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Simple random sampling without replacement (srswor) of size n is the probability sampling design for which a fixed number of n units are selected from a population of N units without replacement such that every possible sample of n units has equal probability of being selected.
For example, a marble may be taken from a bag with 20 marbles and then a second marble is taken without replacing the first marble. The sample space for the second event is then 19 marbles instead of 20 marbles. This is called probability without replacement or dependent probability.
Consider the same population of potato sacks, each of which has either 12, 13, 14, 15, 16, 17, or 18 potatoes, and all the values are equally likely. Suppose that, in this population, there is exactly one sack with each number. So the whole population has seven sacks.
Sampling without replacement, in which a subset of the observations are selected randomly, and once an observation is selected it cannot be selected again. sampling with replacement, in which a subset of observations are selected randomly, and an observation may be selected more than once.
Without replacement: When sampling is done without replacement, each member of a population may be chosen only once. In this case, the probabilities for the second pick are affected by the result of the first pick. The events are considered to be dependent or not independent.