Step 1: Understanding the Concept
In the presence of benzoyl peroxide, HBr adds to propene by a free-radical chain mechanism (Kharasch effect).
Step 2: Mechanism
The Br radical attacks the terminal \(\text{CH}_{2}\) carbon and gives the more stable secondary radical \(\text{CH}_{3}\dot{\text{C}}\text{HCH}_{2}\text{Br}\). This radical then takes H from HBr.
Step 3: Result
The product is 1-bromopropane. Bromine has gone to the carbon with more hydrogens, the reverse of Markovnikov's rule.
Final Answer:
The reaction follows the anti-Markovnikov rule.
\[ \boxed{\text{(B) }\text{Anti-Markovnikov's rule}} \]