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Home » Re-read the problem: "rotates in precise increments" — so discrete. - RTA

Re-read the problem: "rotates in precise increments" — so discrete. - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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P(\text{at least 2 of each color}) = \frac{0}{3003} = 0
Question: A historian of science is organizing a panel with 3 experts...
We are selecting 3 experts from a total of $ 6 + 5 + 4 = 15 $ professi...
We want the probability that the 3 selected include **at least one his...
### 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
To satisfy at least one from each profession, we must have **1 histori...
\binom{6}{1} \cdot \binom{5}{1} \cdot \binom{4}{1} = 6 \cdot 5 \cdot 4...
P(\text{at least one from each profession}) = \frac{120}{455} = \frac{...

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