You can check TAMU accountability report. Competitive college like Mays admitted around 1150 auto-admit (top 10%) consistently for the last 5 years, around 60% enrolled . For non-auto, Mays admitted around 720 applicants on average for the last 5 years, around 48% enrolled.
But note that for non-auto Mays applicant, around 3700 applied on average the last two years. So for students outside top 10% of their class the chance dropped dramatically to 22%. So “solid test scores” (high SAT/ACT) for non-auto is important.