Question

Roxanne attended a music store's banjo sale. She counted the types of banjos and made note of their discounts.
25% off 50% off
4 strings 2 5
5 strings 5 2
What is the probability that a randomly selected banjo has 4 strings and is 25% off?
Simplify any fractions

Answer 1

To find the probability that a randomly selected banjo has 4 strings and is 25% off, we first need to determine the total number of banjos and the number of banjos that fit the criteria of having 4 strings and being 25% off.

From the information provided:

- The number of 4-string banjos that are 25% off: **2**
- The number of 4-string banjos that are 50% off: **0**
- The number of 5-string banjos that are 25% off: **5**
- The number of 5-string banjos that are 50% off: **2**

Now, we can calculate the total number of banjos:

\[
\text{Total banjos} = (\text{4-string, 25% off}) + (\text{4-string, 50% off}) + (\text{5-string, 25% off}) + (\text{5-string, 50% off})
\]

Putting in the values:

\[
\text{Total banjos} = 2 + 0 + 5 + 2 = 9
\]

Next, we need to find the probability that a randomly selected banjo has 4 strings and is 25% off:

\[
\text{Probability} = \frac{\text{Number of 4-string banjos at 25% off}}{\text{Total number of banjos}} = \frac{2}{9}
\]

Thus, the probability that a randomly selected banjo has 4 strings and is 25% off is:

\[
\frac{2}{9}
\]