Question

The clients who get haircuts at Manuel's salon have a variety of hair colors.
black 3
brown 6
blond 3
What is the experimental probability that the next client to get a haircut Manuel's salon will have brown hair?
Write your answer as a fraction or whole number.
P(brown)=

Answer 1

To find the experimental probability that the next client to get a haircut at Manuel's salon will have brown hair, we first need to find the total number of clients and the number of clients with brown hair.

The number of clients with each hair color is as follows:
- Black hair: 3
- Brown hair: 6
- Blond hair: 3

Now, we can calculate the total number of clients:

\[
\text{Total Clients} = 3 \text{ (black)} + 6 \text{ (brown)} + 3 \text{ (blond)} = 12
\]

Next, we use the number of clients with brown hair to find the probability:

\[
P(\text{brown}) = \frac{\text{Number of clients with brown hair}}{\text{Total number of clients}} = \frac{6}{12}
\]

We can simplify the fraction:

\[
P(\text{brown}) = \frac{6 \div 6}{12 \div 6} = \frac{1}{2}
\]

Thus, the experimental probability that the next client to get a haircut at Manuel's salon will have brown hair is:

\[
P(\text{brown}) = \frac{1}{2}
\]