Final answer:
The probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD is approximately 0.0735.
Step-by-step explanation:
To calculate the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD, we need to use the concept of conditional probability.
The probability of pulling out a classic rock CD on the first draw is 5/17, since there are 5 classic rock CDs out of a total of 17 CDs in the bag.
After the first draw, there will be 16 CDs remaining in the bag, with 4 of them being country music CDs.
Therefore, the probability of pulling out a country music CD on the second draw, given that a classic rock CD was already pulled out, is 4/16.
To find the overall probability, we multiply these two probabilities together: (5/17) * (4/16) = 20/272, which simplifies to approximately 0.0735 when rounded to the nearest hundredth.