Question

fill in the blank.
selections made with replacement are considered to be ______.

selections made with replacement are considered to be
independent.
redundant
controlled

dependent

Explanation:

In probability, when selections are made with replacement, the outcome of one selection does not affect the outcome of another selection. This is the definition of independent events. "Redundant" means unnecessary repetition, "controlled" implies some external control (not related to replacement), and "dependent" is when the outcome of one event affects another (which is for selections without replacement). So the correct term is independent.

Answer:

independent