Each letter of the word movers is written on an individual paper strip and placed in a box. Which set represents the favorable outcomes of the event of randomly choosing a consonant letter?
a {v, r, s}
b {m, o, v, e, r, s}
c {m, v, r, s}
d {o, e}
c {m, v, r, s}
The set that represents the favorable outcomes of randomly choosing a consonant letter from the word "movers" is:
c) {m, v, r, s}
To determine the favorable outcomes of randomly choosing a consonant letter from the word "movers," we need to identify the consonant letters in the word.
Consonant letters are all the letters in the alphabet except for the vowels (a, e, i, o, u). In the word "movers," the consonant letters are m, v, r, and s.
Now, let's take a look at each set and identify which one represents the favorable outcomes:
a) {v, r, s} - This set includes the consonant letters v, r, and s. It represents the favorable outcomes of randomly choosing a consonant letter.
b) {m, o, v, e, r, s} - This set includes all the letters in the word "movers," including the consonant letters m, v, r, and s, along with the vowels o and e. It does not represent only the favorable outcomes of choosing a consonant letter, so it is not the correct set.
c) {m, v, r, s} - This set includes only the consonant letters in the word "movers" (m, v, r, s). Thus, it represents the favorable outcomes of randomly choosing a consonant letter.
d) {o, e} - This set includes only the vowels in the word "movers" (o, e). It does not represent the consonant letters, so it is not the correct set.
Therefore, the set that represents the favorable outcomes of randomly choosing a consonant letter from the word "movers" is c) {m, v, r, s}.