Final answer:
Independent voters can participate in open and semi-closed primaries. Open primaries allow voting in any party primary without party affiliation, whereas semi-closed primaries permit unaffiliated voters to choose which party's primary to participate in.
Step-by-step explanation:
If a person is registered as an independent voter, they might be able to participate in several types of primary elections depending on the state rules. However, specifically, they can participate in open primaries and semi-closed primaries. In an open primary, a registered voter may vote in any party primary regardless of their own party affiliation. On the other hand, a semi-closed primary also allows unaffiliated voters to choose which party primary they wish to engage in without a prior party declaration. States with closed primaries prevent independent voters from participating unless they register with a party beforehand.