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holiday inn philadelphia arpt stadium area by ihg - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 ### Step 3: Compute the probability

📌 P(\text{at least 2 of each color}) = \frac{0}{3003} = 0

📌 Question: A historian of science is organizing a panel with 3 experts selected from a list of 6 historians, 5 scientists, and 4 physicians. What is the probability that the panel includes at least one expert from each profession?

📌 We are selecting 3 experts from a total of $ 6 + 5 + 4 = 15 $ professionals.

📌 We want the probability that the 3 selected include **at least one historian, one scientist, and one physician**.

📌 ### Step 1: Total number of ways to choose 3 experts from 15:

📌 \text{Total ways} = \binom{15}{3} = 455

📌 ### Step 2: Favorable outcomes — at least one from each profession

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