To find the relative frequency of each letter, we need to divide the number of times each letter was picked by the total number of picks.
Given:
- The total number of picks is 120.
- The number of times 'A' was picked is 24.
- The number of times 'B' was picked is 66.
- The number of times 'C' was picked is 30.
Let's calculate the relative frequency for each letter:
1. Relative Frequency of A:
The relative frequency is calculated by dividing the number of times 'A' was picked by the total number of picks.
[tex]\[
\text{Relative Frequency of } A = \frac{24}{120}
\][/tex]
Simplifying this fraction gives:
[tex]\[
\text{Relative Frequency of } A = 0.2
\][/tex]
2. Relative Frequency of B:
The relative frequency is calculated by dividing the number of times 'B' was picked by the total number of picks.
[tex]\[
\text{Relative Frequency of } B = \frac{66}{120}
\][/tex]
Simplifying this fraction gives:
[tex]\[
\text{Relative Frequency of } B = 0.55
\][/tex]
3. Relative Frequency of C:
The relative frequency is calculated by dividing the number of times 'C' was picked by the total number of picks.
[tex]\[
\text{Relative Frequency of } C = \frac{30}{120}
\][/tex]
Simplifying this fraction gives:
[tex]\[
\text{Relative Frequency of } C = 0.25
\][/tex]
Therefore:
- The relative frequency of picking A is [tex]\(0.2\)[/tex]
- The relative frequency of picking B is [tex]\(0.55\)[/tex]
- The relative frequency of picking C is [tex]\(0.25\)[/tex]
