Question

*Need Help??!!

The graph shows the number of each kind of CD in Dante's collection. What is the probability that a randomly chosen CD will be country?

A.) 15%
B.) 20%
C.) 25%
D.) 30%

Photo of the graph is attached.

Answer 1

Answer: D.) 30%

Explanation:

From the given pie chart, we have the number of country CD = 12

The total number of CD's=
`12+8+4+6+10=40`

Now, the probability that a randomly chosen CD will be country is given by :-

`\text{P(country)}=\frac{\text{Number of country CD}}{\text{Total CDs}}\\\\=(12)/(40)=(3)/(10)=0.3`

In percent,
`0.3*100=30\%`

Hence, the probability that a randomly chosen CD will be country is 30%.

Answer 2

The probability of getting a country CD out of all the CDs is the number of country CDs divided by the total number of CDs in Dante's Collection.

The total number of CDs in Dante's collection is
`6+12+8+4+10=40`.

The total number of country CDs is 12.

So our required probability is
`(12)/(40)= (3)/(10)`.

In percentage this is 3 divided by 10, and then multiply by 100. We get 30%. Answer choice D is correct.

ANSWER: D