Speech 讠 plus formula 式: to try something is to run it against the formula and see if the words hold. 试 began in officialdom — testing candidates by questioning — and kept both senses: the attempt and the assessment.
试试看 'give it a try' is the gentlest push in Chinese — how parents offer vegetables and friends offer karaoke microphones. 试衣间 the fitting room is where 试 meets shopping; 面试 the interview is where it meets fate.
Speak 讠 the formula 式 out loud and see if it works — TRY it.
试用期 'trial period' governs both new employees (up to 6 months) and app subscriptions (usually 7 days) — 试 is the word before commitment.