The reaction of an alkene (in this case, styrene or \( {C}_6{H}_5{CH=CHCH}_3 \)) with HBr follows an electrophilic addition mechanism. In this reaction, the double bond of the alkene undergoes protonation to form a carbocation, which is then attacked by the bromide ion. The final product is the addition of Br to the more substituted carbon atom.
The reaction proceeds as:
\[
{C}_6{H}_5{CH=CHCH}_3 + {HBr} \rightarrow {C}_6{H}_5{CH}_2{CH}_2{Br}
\]
Thus, the correct product is \( {C}_6{H}_5{CH}_2{CH}_2{Br} \).