Experience
late Middle English: via Old French from Latin experientia, from experiri ‘try’. Compare with experiment and expert.
wiktionary
From Middle English experience, from Old French, from Latin experientia(“a trial, proof, experiment, experimental knowledge, experience”), from experiens, present participle of experiri(“to try, put to the test, undertake, undergo”), from ex(“out”) + peritus(“experienced, expert”), past participle of *periri(“to go through”); see expert and peril.
etymonline
experience (n.)
late 14c., "observation as the source of knowledge; actual observation; an event which has affected one," from Old French esperience "experiment, proof, experience" (13c.), from Latin experientia "a trial, proof, experiment; knowledge gained by repeated trials," from experientem (nominative experiens) "experienced, enterprising, active, industrious," present participle of experiri "to try, test," from ex "out of" (see ex-) + peritus "experienced, tested," from PIE *per-yo-, suffixed form of root *per- (3) "to try, risk." Meaning "state of having done something and gotten handy at it" is from late 15c.
experience (v.)
1530s, "to test, try, learn by practical trial or proof;" see experience (n.). Sense of "feel, undergo" first recorded 1580s. Related: Experienced; experiences; experiencing.