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certificat d'aptitude professionnelle - Anadea

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Total number of ways to choose 4 samples from 7 is:

📌 We compute favorable outcomes where number of anomalous samples is 2 or 3.

📌 Total favorable outcomes: $18 + 4 = 22$

📌 Question: A pharmacologist is testing combinations of 3 distinct drug compounds selected from a library of 10, where 4 are known to interact synergistically. What is the probability that a randomly chosen set of 3 compounds includes at least one synergistic pair?

📌 Solution: We compute the total number of ways to choose 3 compounds from 10:

📌 Case 1: 0 synergistic compounds (all 3 from non-synergistic):

📌 Case 2: 1 synergistic, 2 non-synergistic:

📌 Total non-favorable (no synergistic pair): $20 + 60 = 80$

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