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Joshua, Audrey, and Simone pick tiles marked A, B, and C from a bag, replacing each tile before the next pick. They repeat this process 120 times and record their results in this table.

\begin{tabular}{|l|c|}
\hline
Letter & Times Picked \\
\hline
A & 24 \\
\hline
B & 66 \\
\hline
C & 30 \\
\hline
\end{tabular}

The relative frequency of picking [tex]$A$[/tex] is [tex]$\square$[/tex].

The relative frequency of picking [tex]$B$[/tex] is [tex]$\square$[/tex].

The relative frequency of picking [tex]$C$[/tex] is [tex]$\square$[/tex].



Answer :

GinnyAnswer
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]

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