Question

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs. What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD?

Answer 1

Answer:

$\frac{5}{68}$

Step-by-step explanation:

We have been given that a prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.

Total number of possible outcomes $4+8+5=17$.

The probability of pulling out a classic rock CD would be $\frac{5}{17}$.

Since the replacement is not allowed, so total number of CD's would be 1 less than 17 that is 16.

The probability of pulling out a country music CD would be $\frac{4}{16}$.

Now to find the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD, we will multiply both probabilities as:

$\frac{5}{17}\times \frac{4}{16}$

$\frac{5}{17}\times \frac{1}{4}$

$\frac{5}{17\times 4}$

$\frac{5}{68}$

Therefore, the probability of pulling out a classic rock CD and then, pulling out a country music CD without replacing it is $\frac{5}{68}$.