We want to find the probability that a randomly selected CD from the collection is a classical CD. To do so, we will use the theoretical probability P and compare the number of favorable outcomes to the number of possible outcomes.
P=Favorable Outcomes/Possible Outcomes
In order to obtain the number of possible outcomes, we will add up the number of CDs in the whole collection.The given music collection includes 10 rock CDs, 8 country CDs, 5 classical CDs, and 7 hip hop CDs
10+ 8+ 5+ 7= 30
Out of these, 5 are classical CDs, so the number of favorable outcomes is 5. Now we have enough information to calculate P(classical).
The probability of selecting a classical CD is 16.
This time we want to find the probability that the CD we select is not a classical CD. Note that this is the complement of selecting a CD that is a classical CD. Recall that the sum of the probability of an event and the probability of its complement is 1.
P(Event)+P(Not event)=1
In Part A we found that the theoretical probability of selecting a classical CD is 16. Let's now find the probability of its complement, that the CD we select is not a classical CD.
