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.P(fedora)=____
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.P(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.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. P(fedora)=18÷24÷2P(fedora)=92