The Supreme Court is more likely to choose to hear Case 1. Here’s the reasoning for this choice:
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Case 1 involves multiple plaintiffs and a significant constitutional issue regarding the Fourteenth Amendment, which concerns equal protection under the law. The fact that different Circuit Courts have made conflicting decisions on the same issue raises a substantial question of federal law that typically attracts the Supreme Court's attention. The conflicting lower court rulings mean that there is a pressing need for clarification at the national level.
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Case 2 pertains to a state law and its compliance with the state constitution, which is less likely to be of national significance to warrant Supreme Court review unless there are broader implications beyond state law.
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Case 3 deals with a criminal procedure issue related to the Fourth Amendment. While it may have important implications for privacy rights and law enforcement, the Supreme Court often waits for more developed circuits' opinions or a situation that merits an established legal principle before stepping in.
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Case 4 deals with a state law that has not been adjudicated by any lower courts yet. The Supreme Court generally prefers cases that have gone through the lower court system, where there are already established facts and legal rulings.
Thus, Case 1 stands out as a case involving important constitutional protections and conflicting circuit court decisions, making it the most likely candidate for Supreme Court review.