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A bag has nine balls labeled \( A, B, C, D, E, F, G, H \), and \( I \). One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing a vowel. If there is more than one element in the set, separate them with commas. Sample space: \( \{T H\} \)

Ask by Chan Warren. in the United States
Jan 22,2025

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Answer

**Sample space:** \( A, B, C, D, E, F, G, H, I \) **Event of choosing a vowel:** \( A, E, I \)

Solution

**Sample space:** \( \{ A, B, C, D, E, F, G, H, I \} \) **Event of choosing a vowel:** \( \{ A, E, I \} \)

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The sample space describing all possible outcomes when picking a ball from the bag is: \( \{ A, B, C, D, E, F, G, H, I \} \). For the event of choosing a vowel, the outcomes would be: \( \{ A, E, I \} \).

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