Question
n a moth population, 48 are brown, 30 are yellow, and 67 are black. What is the approximate probability of a moth being brown and yellow, respectively? (Round your answers)(1 point)Responses33%; 21%33%; 21%33%; 46%33%; 46%48%; 30%48%; 30%46%; 21%
Answers
GPT-4o mini
To find the approximate probability of a moth being brown and yellow, we need to calculate the total number of moths and then find the probabilities for each color.
1. First, calculate the total number of moths:
\[
\text{Total moths} = \text{Brown} + \text{Yellow} + \text{Black} = 48 + 30 + 67 = 145.
\]
2. Next, calculate the probability of a moth being brown:
\[
P(\text{Brown}) = \frac{\text{Number of brown moths}}{\text{Total number of moths}} = \frac{48}{145} \approx 0.3310 \text{ (or } 33.1\% \text{, rounding to } 33\%\text{)}.
\]
3. Now, calculate the probability of a moth being yellow:
\[
P(\text{Yellow}) = \frac{\text{Number of yellow moths}}{\text{Total number of moths}} = \frac{30}{145} \approx 0.2069 \text{ (or } 20.7\% \text{, rounding to } 21\%\text{)}.
\]
Thus, the approximate probabilities are:
- Brown: **33%**
- Yellow: **21%**
The combined response from your provided options is: **33%; 21%**.
1. First, calculate the total number of moths:
\[
\text{Total moths} = \text{Brown} + \text{Yellow} + \text{Black} = 48 + 30 + 67 = 145.
\]
2. Next, calculate the probability of a moth being brown:
\[
P(\text{Brown}) = \frac{\text{Number of brown moths}}{\text{Total number of moths}} = \frac{48}{145} \approx 0.3310 \text{ (or } 33.1\% \text{, rounding to } 33\%\text{)}.
\]
3. Now, calculate the probability of a moth being yellow:
\[
P(\text{Yellow}) = \frac{\text{Number of yellow moths}}{\text{Total number of moths}} = \frac{30}{145} \approx 0.2069 \text{ (or } 20.7\% \text{, rounding to } 21\%\text{)}.
\]
Thus, the approximate probabilities are:
- Brown: **33%**
- Yellow: **21%**
The combined response from your provided options is: **33%; 21%**.