In a moth population, 47 are brown, 15 are yellow, and 34 are black. What is the approximate probability of a moth being black? (Round your answer.)(1 point)

Question

Responses

2%
2%

35%
35%

49%
49%

16%

Answer 1

To find the probability of a moth being black, you can use the following formula:

\[ \text{Probability} = \frac{\text{Number of black moths}}{\text{Total number of moths}} \]

From the data provided:

• Number of brown moths = 47
• Number of yellow moths = 15
• Number of black moths = 34

First, calculate the total number of moths:

\[ \text{Total} = 47 + 15 + 34 = 96 \]

Now, calculate the probability of a moth being black:

\[ \text{Probability of black moth} = \frac{34}{96} \approx 0.3542 \]

To express this as a percentage:

\[ 0.3542 \times 100 \approx 35.42% \]

Rounding to the nearest whole number gives us approximately 35%.

Therefore, the approximate probability of a moth being black is 35%.