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)

Question

Responses

5%
5%

15%
15%

35%
35%

50%

Answer 1

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

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case, the number of black moths is 35, and the total number of moths is the sum of all the moths:

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

Now, applying the values to the probability formula:

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

To express this as a percentage, multiply by 100:

\[ 0.35 \times 100 = 35% \]

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