Step 1: Understand the reaction
Propene, \(\text{CH}_3\text{CH=CH}_2\), reacts with HBr in the presence of a peroxide. This is the peroxide (Kharasch) effect, which changes the usual orientation of addition.
Step 2: Mechanism
The peroxide produces a bromine radical \(\text{Br}\cdot\) from HBr. The radical adds to the terminal carbon \(\text{CH}_2\) of the double bond so that the more stable secondary radical \(\text{CH}_3\dot{\text{C}}\text{H}-\text{CH}_2\text{Br}\) forms.
Step 3: Complete the step
The secondary radical removes H from another HBr molecule, giving \(\text{CH}_3\text{CH}_2\text{CH}_2\text{Br}\) and a new \(\text{Br}\cdot\), so the chain continues.
Step 4: Check the options
The product is 1-bromopropane (A). 2-Bromopropane (B) is the Markovnikov product without peroxide. 3-Bromopropene (C) needs substitution at the allylic position, and (D) needs an OH group, which is not available in this reaction.
Final Answer:
Anti-Markovnikov addition gives 1-bromopropane. This is option (A).
\[ \boxed{\text{(A) }\text{1-Bromopropane}} \]