"There is no specific number of cases accepted each year. The Court typically hears between 60-75 oral arguments per year, and reviews approximately another 50-60 more cases on paper. The total represents a mere 1-2% of the cases submitted on appeal, due to limitations on the amount of work a nine-Justice Court can handle."
If I remember correctly one of the papers I linked to was about the fact that the USSC hears a meaningfully higher fraction of appeals coming regarding patents.
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