Question

Rebecca supplies costumes to a number of theater companies and recently lent out a number of different hats.
turbans 6
berets 3
mortarboards 3
top hats 2
What is the experimental probability that the next hat requested from Rebecca's inventory will be a turban?
Simplify your answer and write it as a fraction or whole number.
P(turban)=

Answers

GPT-4o mini
To find the experimental probability that the next hat requested will be a turban, we first need to determine the total number of hats in Rebecca's inventory.

The total number of hats is calculated as follows:

- Turbans: 6
- Berets: 3
- Mortarboards: 3
- Top hats: 2

Total number of hats = 6 + 3 + 3 + 2 = 14

Next, we calculate the probability of the next requested hat being a turban. The probability \( P(turban) \) is given by the ratio of the number of turbans to the total number of hats:

\[
P(turban) = \frac{\text{Number of turbans}}{\text{Total number of hats}} = \frac{6}{14}
\]

Now, we simplify the fraction \( \frac{6}{14} \):

Both the numerator and the denominator can be divided by 2:

\[
\frac{6 \div 2}{14 \div 2} = \frac{3}{7}
\]

Therefore, the experimental probability that the next hat requested will be a turban is:

\[
P(turban) = \frac{3}{7}
\]

Related Questions