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

35%
35%

16%
16%

49%
49%

2%

Answer 1

To find the approximate probability of a moth being black, we first determine the total number of moths in the population:

Total moths = Number of brown moths + Number of yellow moths + Number of black moths
Total moths = 47 + 15 + 34 = 96

Next, we calculate the probability of a moth being black by dividing the number of black moths by the total number of moths:

Probability of being black = Number of black moths / Total number of moths
Probability of being black = 34 / 96

Now, let's calculate that:

34 / 96 ≈ 0.3542

To express this as a percentage, we multiply by 100:

0.3542 × 100 ≈ 35.42%

Rounding this gives approximately 35%.

Thus, the correct response is:

35%