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%

50%
50%

5%
5%

35%

1 answer

To find the probability of a moth being black, you need to use the formula:

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

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, plug in the numbers:

\[ \text{Probability} = \frac{35}{100} = 0.35 \]

To convert this to a percentage, multiply by 100:

\[ 0.35 \times 100 = 35% \]

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