Elimination Rxn Question!!!

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deeps005

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I'm taking my DAT on tuesday and am totally confused about one of the questions on the TopScore exam. The question is from the orgo section and goes like this:

Which of the following products could be formed when butadiene reacts with HCl?

the answer is 3-chlorobutene and 4-chlorobut-2-ene

I don't understand how 4-chlorobut-2-ene could be a product. I think this has something to do with carbocation rearrangement but it seems like to get 4-chlorobut-2-ene the carbocation would have to rearrange itself to something less stable and I didn't think that happens. PLEASE HELP! thanks!
 
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