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)
Responses

15%
15%

35%
35%

50%
50%

5%

Answer 1

To find the probability of a moth being black, you need to divide the number of black moths by the total number of moths in the population.

The number of black moths is 35. The total number of moths is:

\[
50 \text{ (brown)} + 15 \text{ (yellow)} + 35 \text{ (black)} = 100 \text{ moths}
\]

Now, the probability (P) of a moth being black is:

\[
P(\text{black}) = \frac{\text{Number of black moths}}{\text{Total number of moths}} = \frac{35}{100} = 0.35
\]

To express this as a percentage, multiply by 100:

\[
0.35 \times 100 = 35\%
\]

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