Using inclusion-exclusion: patients with improvement or side effects = 100 + 120 – 36 = <<100+120-36=184>>184.

February 22, 2026

Using inclusion-exclusion: patients with improvement or side effects = 100 + 120 – 36 = <<100+120-36=184>>184.

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Patients with improvement: (1/3) × 300 = <<300/3=100>>100.
Patients with side effects: 40% of 300 = 0.4 × 300 = <<0.4*300=120>>120.
Patients with both: 12% of 300 = 0.12 × 300 = <<0.12*300=36>>36.
But we want improvement only: 100 – 36 = <<100-36=64>>64.
A wildlife AI model predicts that 60% of a 250 elk herd will migrate north, while 20% stay behind. Of those migrating, 15% deviate from the predicted route. How many migrating elk stay on the correct path?
Number expected to migrate: 60% of 250 = 0.6 × 250 = <<0.6*250=150>>150.

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