The correct statement is (are):
Consider the following reaction


A. the major product is a racemic mixture of

B. the major product is

C. If reaction occurs in presence of ROOR,
is formed as a major product.
D. Reaction involves rearrangement of free radical intermediate.

Hint: The reaction of hydroamination with alkenes will generate a carbocation as an intermediate by the addition of hydrogen cation to one of the double bonds present in the given alkene compound. Hydrobromination of alkenes follows Markonikov’s rule.

Complete step by step solution:
-The name of the given compound in the question is methyl heptadiene.
-The structure of the compound is as follows.

-Now we have to check which product is going to form when methyl heptadiene reacts with hydrogen bromide (HBr).

-Methyl heptadiene reacts with H+ ion in the first step and forms a tertiary carbocation due to high stability of the tertiary carbocation through Markonikov’s rule.
-Later the formed tertiary carbocation reacts with bromide ion and forms a racemic mixture of the respective bromide derivative.
-Therefore option A is correct.
- If the double bonds present in conjugation in heptadiene then there is a chance of the formation of the product in option B. So, option B is wrong.
-Coming to option C, If a reaction occurs in presence of ROOR.

-Due to the presence of ROOR (Peroxide) then the hydroamination proceeds through Anti-Markovnikov's rule and forms a product where Bromine is going to attach to the carbon where more number of hydrogens is present.
-Therefore option C is also correct.
-Coming to option D, Reaction involves rearrangement of free radical intermediate. In the absence of peroxides, the reaction is going to complete without the involvement of the free radicals. Then option D is wrong.

So, the correct options are A and C.

Note: If Hydrobromination is proceeding without the involvement of peroxide then the reaction proceeds through the formation of tertiary carbocation as the intermediate (Markonikov’s rule). If there is a presence of peroxide then the reaction proceeds through Anti-Markovnikov's rule (less substituted product is going to form).