Predicting Alkene Formation in 2-Butanol E1 Dehydration

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In the E1 dehydration of 2-butanol, three alkenes are produced: cis-but-2-ene, trans-but-2-ene, and but-1-ene. But-1-ene is expected to form in the least abundance. The discussion suggests that the trans isomer will be more abundant than the cis isomer due to steric factors, as the bulkier groups are positioned farther apart in the trans configuration. There is uncertainty about whether the cis and trans isomers will form in equal amounts, but the consensus leans towards the trans isomer being favored. Overall, the trans-but-2-ene is predicted to be the major product in this reaction.
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When 2-butanol undergoes E1 dehydration, 3 alkenes are obtained. cis-but-2-ene, trans-but-2-ene, and but-1-ene. Which alkene would you predict to be formed in greatest abundance? How do you know?
 
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Ok I know that the but-1-ene will form with least abundance, but what about the other two cis and trans isomers? Will they form in equal abundance? That's what I predict, but I just want to make sure. If anyone knows for sure, please reply. Thanks.
 
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trans isomer will be more abundant becouse the bulkiest groups will be farthest apart from each other.
 

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