Problem
Probability and Data Analysis Determining a sample space and outcomes for an event: Experiment... A bag has five balls labeled $A, B, C, D$, and $E$. 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 letter from $A$ to $C$. If there is more than one element in the set, separate them with commas. Sample space: $\{\mathbb{T}\}$ Event of choosing a letter from $A$ to $C:\{\square\}$
Solution
Step 1 ：The sample space in this case is the set of all possible outcomes. Since we are picking one ball from a bag that contains balls labeled A, B, C, D, and E, the sample space is the set of these letters.
Step 2 ：The event of choosing a letter from A to C is a subset of the sample space. It includes the outcomes A, B, and C.
Step 3 ：Final Answer: Sample space: \(\boxed{\{A, B, C, D, E\}}\)
Step 4 ：Event of choosing a letter from A to C: \(\boxed{\{A, B, C\}}\)
