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Irma supplies costumes to a number of theater companies. She recently provided $18$ different hats, including $4$ fedoras. What is the experimental probability that the next hat requested from Irma's inventory will be a fedora? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{fedora}) = \_\_\_\_$

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Experimental probability

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Q. Irma supplies costumes to a number of theater companies. She recently provided

18

different hats, including

4

fedoras. What is the experimental probability that the next hat requested from Irma's inventory will be a fedora? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{fedora}) = \_\_\_\_

Calculate Probability: The experimental probability of an event is calculated by dividing the number of times the event occurs by the total number of trials. In this case, the event is selecting a fedora, and the total number of trials is the total number of hats.
Find Probability of Fedora: To find the probability of selecting a fedora, we divide the number of fedoras by the total number of hats. $\newline$ P\left(\text{fedora}\right) = \frac{\text{Number of fedoras}}{\text{Total number of hats}}\(\newlineP\left(\text{fedora}\right) = \frac{\(4\)}{\(18\)}
Simplify Fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is \(2. $\newline$ $P(\text{fedora}) = \frac{4 \div 2}{18 \div 2}$ $\newline$ $P(\text{fedora}) = \frac{2}{9}$

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