a prize bag contains four country music cds, eight pop music cds, and five classic rock cds. what is the…

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? express your answer in decimal form, rounded to the nearest hundredth.\n0.03\n0.07\n0.15\n0.18

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? express your answer in decimal form, rounded to the nearest hundredth.\n0.03\n0.07\n0.15\n0.18

Answer

Answer:

0.07

Explanation:

Step1: Calculate total CDs

$4 + 8+5=17$

Step2: Probability of first - pick

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

Step3: Probability of second - pick

After one classic rock CD is picked (without replacement), there are 16 CDs left. The probability of pulling out a country music CD is $\frac{4}{16}$.

Step4: Calculate combined probability

The combined probability is $\frac{5}{17}\times\frac{4}{16}=\frac{20}{272}\approx0.07$.