which of the following following events occurred first the discovery of gold in California the Compromise of 1850 the application for Statehood by California or the Missouri Compromise

The event that occurred first: The Missouri Compromise

The Missouri Compromise was passed in Congress in 1820. It admitted Missouri into the Union as a slave state with Maine being added as a free state at the same time, to keep the balance of slave and free states equal. It also prohibited any future slave states north of the latitude line 36 1/2 degrees north of the equator in territories of the Louisiana Purchase, with the exception of Missouri (north of that line) being admitted as a slave state.

The other items:

Discovery of gold in California was in 1848. Application for statehood by California was in 1849. The Compromise of 1850 was (obviously) in 1850. As part of the Compromise of 1850, California was admitted to the Union as a non-slavery state.