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)
• 15%
• 5%
• 50%
35%

Answer 1

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

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

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

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

Now, plug in the values:

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

To convert this to a percentage:

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

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