Concept:
Addition of HBr to an unsymmetrical alkene normally follows Markovnikov's rule. However, in the presence of organic peroxides, the reaction proceeds through a free radical mechanism known as the Kharasch effect or Peroxide effect. In this case, HBr adds according to anti-Markovnikov orientation.
Step 1: Write the structure of propene.
\[
\mathrm{CH_3-CH=CH_2}
\]
Propene is an unsymmetrical alkene.
Step 2: Understand the role of peroxide.
Peroxides generate free radicals.
\[
ROOR \rightarrow 2RO^\bullet
\]
These radicals initiate a chain reaction involving HBr.
Step 3: Apply anti-Markovnikov addition.
In radical addition, bromine radical adds first to the double bond in such a way that the more stable carbon radical is formed.
Hence bromine attaches to the terminal carbon atom.
\[
\mathrm{CH_3CH=CH_2}
\xrightarrow[\text{Peroxide}]{\mathrm{HBr}}
\mathrm{CH_3CH_2CH_2Br}
\]
Step 4: Identify the product.
The product formed is
\[
\mathrm{CH_3CH_2CH_2Br}
\]
which is 1-Bromopropane.
Therefore,
\[
\boxed{\text{Option (2)}}
\]