Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?

(1 point)
Responses

252 fifths

2
2

353 fifths

1

1 answer

To find the probability that the first CD Kyle pulls from the box will NOT be hip hop, we first need to determine the total number of CDs and the number of CDs that are not hip hop.

There are:

  • 10 country CDs
  • 5 rock CDs
  • 12 hip hop CDs
  • 3 jazz CDs

Calculating the total number of CDs:

\[ \text{Total CDs} = 10 + 5 + 12 + 3 = 30 \]

Next, we calculate the number of CDs that are NOT hip hop:

\[ \text{Not hip hop CDs} = \text{Total CDs} - \text{Hip hop CDs} = 30 - 12 = 18 \]

Now, the probability that the first CD pulled is NOT hip hop is given by:

\[ P(\text{Not hip hop}) = \frac{\text{Not hip hop CDs}}{\text{Total CDs}} = \frac{18}{30} \]

Simplifying this fraction:

\[ \frac{18}{30} = \frac{3}{5} \]

Thus, the probability that the first CD Kyle pulls will NOT be hip hop is \( \frac{3}{5} \).

The appropriate response from the options provided is not listed as a direct fraction but converted to a decimal perspective, the probability \( \frac{3}{5} \) translates to \( 0.6 \).

However, if we refer back to your originally provided options, they don't seem to provide \( \frac{3}{5} \). It looks like there may have been a mistake or some misunderstanding regarding the options that were provided.

Regardless, the final answer is:

\[ P(\text{Not hip hop}) = \frac{3}{5} \]