Snap Your Signature Look in This Luxe Women’s Black Mac Coat — Styles That Stop Hearts!

Snap Your Signature Look in This Luxe Women’s Black Mac Coat — Styles That Stop Hearts!

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### Step 1: Total number of ways to choose 5 buses from 15:\text{Total ways} = \binom{15}{5} = 3003### Step 2: Favorable outcomes — at least two of each colorWe are looking for selections with **at least 2 red, 2 green, and 2 blue** buses. But since we're only selecting 5 buses, it's **impossible** to have at least 2 of each color (since $2+2+2 = 6 > 5$).Thus, the number of favorable outcomes is:### Step 3: Compute the probabilityP(\text{at least 2 of each color}) = \frac{0}{3003} = 0Question: 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**.