Question
In a moth population, 50 are brown, 15 are yellow, and 35 are black. What is the probability of a moth being black?(1 point)Responses35%35%15%15%5%5%50%
Answers
GPT-4o mini
To find the probability of a moth being black, you need to use the formula for probability:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of black moths is 35, and the total number of moths is:
\[
50 \text{ (brown)} + 15 \text{ (yellow)} + 35 \text{ (black)} = 100
\]
Now, we can calculate the probability of a moth being black:
\[
\text{Probability of black moth} = \frac{35}{100} = 0.35
\]
To express this as a percentage, multiply by 100:
\[
0.35 \times 100 = 35\%
\]
Therefore, the probability of a moth being black is **35%**.
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case, the number of black moths is 35, and the total number of moths is:
\[
50 \text{ (brown)} + 15 \text{ (yellow)} + 35 \text{ (black)} = 100
\]
Now, we can calculate the probability of a moth being black:
\[
\text{Probability of black moth} = \frac{35}{100} = 0.35
\]
To express this as a percentage, multiply by 100:
\[
0.35 \times 100 = 35\%
\]
Therefore, the probability of a moth being black is **35%**.