The correct answer is option 4, Uzbekistan. The Eurasian Economic Union (EAEU) is a regional organization that aims to promote economic integration among its member states. Option 1, Belarus, is a member of the EAEU. Option 2, Russia, is also a founding member of the EAEU. Option 3, Kazakhstan, is another member of the EAEU. However, option 4, Uzbekistan, is not a member of the EAEU.

Uzbekistan is a landlocked country in Central Asia and though it does have economic ties with Russia and other EAEU countries, it has not formally joined the Eurasian Economic Union. It is important to note that membership in the EAEU is voluntary, and countries have to meet certain criteria and agree to adhere to the organization`s rules and regulations in order to become members. Overall, the EAEU consists of five member states - Armenia, Belarus, Kazakhstan, Kyrgyzstan, and Russia.