at kurts boutique last week, 15 customers wore a size medium, and 45 customers wore a different size. what…

at kurts boutique last week, 15 customers wore a size medium, and 45 customers wore a different size. what is the experimental probability that the next customer to come into kurts boutique wears a size medium? simplify your answer and write it as a fraction or whole number. p(medium) =

at kurts boutique last week, 15 customers wore a size medium, and 45 customers wore a different size. what is the experimental probability that the next customer to come into kurts boutique wears a size medium? simplify your answer and write it as a fraction or whole number. p(medium) =

Answer

Explanation:

Step1: Find total number of customers

The total number of customers is the sum of those who wore size - medium and those who wore a different size. So, the total number of customers $n = 15+45=60$.

Step2: Calculate the experimental probability

The experimental probability $P$ of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here, the number of favorable outcomes (customers wearing size - medium) $m = 15$, and the total number of outcomes $n = 60$. So, $P(\text{medium})=\frac{m}{n}=\frac{15}{60}$.

Step3: Simplify the fraction

We can simplify $\frac{15}{60}$ by dividing both the numerator and the denominator by their greatest - common divisor, which is 15. $\frac{15\div15}{60\div15}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$