When you classify countries in terms of presidential versus not presidential (i.e., either parliamentary or semi-presidential), whether or not a country has an investiture vote is more important than whether or not they have a no confidence vote procedure.

Question

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An investiture vote is used in some parliamentary and semi-presidential systems to formally approve a new government or prime minister after an election or appointment. However, the presence of a no-confidence vote procedure is a more fundamental characteristic distinguishing parliamentary and semi-presidential systems from presidential systems. In parliamentary and semi-presidential systems, the government must maintain the confidence of the legislature to stay in power, whereas in presidential systems, the president is usually elected separately from the legislature and does not depend on legislative confidence to govern.

When You Classify Countries in Terms of Presidential Versus Not