Question

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 Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD?

Answer 1

Total number of CDs= 10+5+12+3=30

Number of jazz CD= 3

Total number of outcomes that Kyle will select a jazz CD from the box= 3C1= 3!/1!2!= 3

Total number of outcomes for any CD = 30C1 = 30!/1$29! =30

Hence, the probability of picking jazz CD =3/30 = 1/10 0.1

Now since, one CD is out, the total number of CD left = 29

No. of country CD= 10

Total number of outcomes that Kyle will select a country CD from the box= 10C1= 10!/1!9!= 10

Total number of outcomes for any CD(one is out) = 29C1 = 29!/1$28! =29

Hence, the probability of picking country CD =10/29 = 0.344827

Step-by-step explanation:

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