To determine the set that represents the favorable outcomes of the event of randomly choosing a consonant letter from the word "movers", we first identify the consonants and vowels in the word.
The letters in "movers" are:
- Consonants: m, v, r, s
- Vowels: o, e
The favorable outcomes for choosing a consonant are therefore {m, v, r, s}.
Looking at the answer choices: A. {v, r, s} - This set includes only some consonants. B. {m, v, r, s} - This set includes all consonants. C. {m, o, v, e, r, s} - This set includes both consonants and vowels. D. {o, e} - This set includes only vowels.
The correct answer is B. {m, v, r, s}.