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(C) The reaction is an electrophilic addition of $HBr$ to a conjugated diene,$2-	ext{methylbuta}-1,3-	ext{diene}$ (isoprene).
$1$. Protonation of th

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$Br-CH_2-C(CH_3)=CH-CH_3$

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(C) The reaction is an electrophilic addition of $HBr$ to a conjugated diene,$2-	ext{methylbuta}-1,3-	ext{diene}$ (isoprene).
$1$. Protonation of the terminal double bond $(C_1)$ occurs to form the most stable carbocation.
$2$. Protonation at $C_1$ gives a tertiary allylic carbocation: $H_3C-C^+(CH_3)-CH=CH_2$,which is resonance stabilized.
$3$. The resonance structure is $H_3C-C(CH_3)=CH-CH_2^+$.
$4$. The bromide ion $(Br^-)$ attacks the primary carbocation site $(C_4)$ to give the thermodynamically more stable product (more substituted alkene).
$5$. The major product is $1-	ext{bromo}-3-	ext{methylbut}-2-	ext{ene}$,which corresponds to option $C$.

In the following reaction,the major product is
$H_2C=C(CH_3)-CH=CH_2 \xrightarrow{1 \text{ equivalent } HBr}$

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In the following reaction,the major product is $H_2C=C(CH_3)-CH=CH_2 \xrightarrow{1 \text{ equivalent } HBr}$