Final answer:
To find the probability of selecting a vocalist from the large music band, we need to consider the total number of members in the band and the number of vocals. The probability is 0.3077 (rounded to four decimal places).
Step-by-step explanation:
To find the probability of selecting a vocalist from the large music band, we need to consider the total number of members in the band and the number of vocals. The band consists of 2 drummers, 5 guitarists, 4 vocals, and 2 bass guitarists. The total number of members in the band is 2 + 5 + 4 + 2 = 13. Since we want to select a vocalist, we only consider the number of vocals, which is 4.
The probability of selecting a vocalist can be found by dividing the number of vocals by the total number of members in the band:
Probability = Number of vocals / Total number of members in the band = 4 / 13 = 0.3077 (rounded to four decimal places).