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…

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: {} event of choosing a vowel: {}

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: {} event of choosing a vowel: {}

Answer

Explanation:

Step1: Identify all possible outcomes

The balls are labeled A, B, C, D, E, F, G, H, I. So the sample - space is all these labels. Sample space = {A, B, C, D, E, F, G, H, I}

Step2: Identify vowels

The vowels in the English alphabet are a, e, i, o, u. Among the given labels, the vowels are A, E, I. Event of choosing a vowel = {A, E, I}

Answer:

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