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%

49%
49%

35%
35%

16%

Answer 1

To find the probability of a moth being black, we first need to find the total number of moths and then calculate the probability based on that total.

1. Calculate the total number of moths: \[ \text{Total moths} = \text{Brown} + \text{Yellow} + \text{Black} = 47 + 15 + 34 = 96 \]

2. Calculate the probability of a moth being black: \[ \text{Probability (black)} = \frac{\text{Number of black moths}}{\text{Total number of moths}} = \frac{34}{96} \]

3. Calculate the probability and convert to percentage: \[ \frac{34}{96} \approx 0.3542 \] To convert this to a percentage: \[ 0.3542 \times 100 \approx 35.42% \]

Rounded to the nearest whole number, the probability of a moth being black is approximately 35%.

So, the correct answer is 35%.