Question

roxanne attended a music stores banjo sale. she counted the types of banjos and made note of their discounts. what is the probability that a randomly selected banjo has 4 strings and is 25% off? simplify any fractions.

Explanation:

Step1: Calculate the total number of banjos

Add up all the values in the table: \(2 + 5+5 + 2=\) \(14\)

Step2: Find the number of favorable outcomes

The number of banjos with 4 strings and 25% off is \(2\)

Step3: Calculate the probability

Probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P=\frac{2}{14}\)

Step4: Simplify the fraction

Divide numerator and denominator by 2: \(\frac{2\div2}{14\div2}=\frac{1}{7}\)

Answer:

\(\frac{1}{7}\)