To determine the approximate probability that someone answers the next call Amelia makes, we need to follow a series of steps:
1. Calculate the total number of calls made:
Amelia has made a total of both answered and unanswered calls. Specifically, she has made:
[tex]\[
20 \, (\text{calls answered}) + 30 \, (\text{calls not answered}) = 50 \, (\text{total calls})
\][/tex]
2. Find the probability of the next call being answered:
The probability that the next call will be answered is the ratio of the number of answered calls to the total number of calls made. Hence:
[tex]\[
\text{Probability} = \frac{\text{Number of answered calls}}{\text{Total number of calls}} = \frac{20}{50}
\][/tex]
3. Simplify the fraction:
Simplifying [tex]\(\frac{20}{50}\)[/tex]:
[tex]\[
\frac{20}{50} = \frac{2}{5}
\][/tex]
4. Convert the fraction to a percentage or decimal for comparison with the given options:
To compare with the given options:
[tex]\[
\frac{2}{5} = 0.4 = 40\%
\][/tex]
Given the options:
- A. [tex]\(\frac{2}{3}\)[/tex]
- B. 0.6
- C. 67\%
- D. 40\%
The correct answer, matching the simplified fraction is:
[tex]\[ \text{D. } 40\% \][/tex]
