To find the probability of selecting one workshop from each category, we calculate the number of favorable outcomes and divide by the total number of outcomes.
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- \[ \frac{540}{10,626} = \frac{90}{1,771} \]
- \[\boxed{\frac{90}{1,771}}\]
- A social impact strategist is organizing a technology education initiative where participants can choose from 4 coding workshops, 6 design workshops, and 5 entrepreneurship workshops. If a participant randomly selects 3 workshops, what is the probability that they choose one from each category?
- First, calculate the total number of ways to choose 3 workshops from 15:
- Next, calculate the number of ways to select 1 coding workshop from 4:
- \[ \binom{4}{1} = 4 \]
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