To determine the set that represents the favorable outcomes of randomly choosing a consonant letter from the word "movers," we first identify the letters in the word:
- m
- o
- v
- e
- r
- s
Next, let's identify which of these letters are consonants and which are vowels. The vowels in the English language are a, e, i, o, and u.
From the letters in "movers":
- Consonants: m, v, r, s
- Vowels: o, e
Thus, the consonants are {m, v, r, s}.
Now we can look at the provided options:
A) { o, e } - This is incorrect because o and e are vowels. B) { m, v, r, s } - This is correct because these are all the consonants. C) { v, r, s } - This is incorrect because it excludes the consonant m. D) { m, o, v, e, r, s } - This is incorrect because this set includes vowels.
Therefore, the correct answer is:
B) { m, v, r, s }