Step 1: Step 1 of reaction -- HBr on 1-phenylethanol. 1-Phenylethanol (C\(_6\)H\(_5\)CH(OH)CH\(_3\)) reacts with HBr: OH is replaced by Br giving C\(_6\)H\(_5\)CHBrCH\(_3\) (1-bromo-1-phenylethane).
Step 2: Step 2 -- alcoholic KOH (elimination). Alcoholic KOH causes dehydrohalogenation (E2). The major product is styrene (C\(_6\)H\(_5\)CH=CH\(_2\)) via Zaitsev elimination. This corresponds to product 4. \[ oxed{4} \]