Step-by-step:
1. CH\(_3\)-CH=CH\(_2\) + HBr → CH\(_3\)-CHBr-CH\(_3\) (Markovnikov addition)
2. Dehydrohalogenation with NaOH:
CH\(_3\)-CHBr-CH\(_3\) → CH\(_3\)-C≡CH\ (propyne)
3. Red hot Cu (573 K):
CH\(_3\)-C≡CH → CH\(_3\)-CHO (Acetaldehyde)
4. Ba(OH)\(_2\), heat (aldol condensation):
2 CH\(_3\)-CHO → CH\(_3\)-CO-CH\(_3\) + H\(_2\)O
Final product is propanone (acetone).