Question

voice type number of singers
countertenor 4
tenor 6
baritone 10
bass 5
a total of 25 men registered for singing lessons. the frequency table shows how many of these singers have certain voice types. if one of these singers is selected at random, what is the probability he is a baritone?
a. 0.10
b. 0.40
c. 0.60
d. 0.67

Explanation:

Step1: Recall probability formula

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. So, \( P(\text{Baritone})=\frac{\text{Number of baritone singers}}{\text{Total number of singers}} \).

Step2: Identify values

From the table, the number of baritone singers is \( 10 \), and the total number of singers is \( 25 \).

Step3: Calculate probability

Substitute the values into the formula: \( P(\text{Baritone})=\frac{10}{25} = 0.40 \).

Answer:

B. 0.40