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Home » \[ 7 + y = 10 \] - AssociationVoting

\[ 7 + y = 10 \] - AssociationVoting

📅 May 15, 2026 👤 scraface

May 15, 2026

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

📌 We want the probability that the selection includes **at least two buses of each color**.

📌 ### 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 color

📌 We 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 probability

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