  In 1978, Yau confirmed a conjecture due to Calabi stating the existence of
K\"ahler metrics with prescribed Ricci forms on compact K\"ahler manifolds. A
version of this statement for effective orbifolds can be found in the
literature. In this expository article, we provide details for a proof of this
orbifold version of the statement by adapting Yau's original continuity method
to the setting of effective orbifolds in order to solve a Monge-Amp\`ere
equation. We then outline how to obtain K\"ahler-Einstein metrics on orbifolds
with $c_1(\mathcal{X}) < 0$ by solving a slightly different Monge-Amp\`ere
equation. We conclude by listing some explicit examples of Calabi-Yau
orbifolds, which consequently admit Ricci flat metrics by Yau's theorem for
effective orbifolds.
