A CD has 5 rap songs and 7 country songs. What is the probability that a randomly selected song is a rap song? * Choose

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Transcription for Educational Website:**

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**Probability Example:**

*Question:*
A CD has 5 rap songs and 7 country songs. What is the probability that a randomly selected song is a rap song?

*Answer Options:*
(There is a drop-down selection list labeled "Choose")

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**Explanation:**

To find the probability of selecting a rap song from the CD:

1. Identify the total number of songs on the CD.
   - Total songs = rap songs + country songs
   - Total songs = 5 rap songs + 7 country songs = 12 songs
   
2. Determine the number of favorable outcomes (selecting a rap song).
   - Favorable outcomes = 5 (rap songs)

3. Use the probability formula:
   - Probability (P) = Number of favorable outcomes / Total number of outcomes
   - P(rap song) = 5 / 12

Therefore, the probability that a randomly selected song is a rap song is \( \frac{5}{12} \).

This probability can also be written as a decimal, approximately 0.4167, or as a percentage, approximately 41.67%.

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Transcribed Image Text:**Transcription for Educational Website:** --- **Probability Example:** *Question:* A CD has 5 rap songs and 7 country songs. What is the probability that a randomly selected song is a rap song? *Answer Options:* (There is a drop-down selection list labeled "Choose") --- **Explanation:** To find the probability of selecting a rap song from the CD: 1. Identify the total number of songs on the CD. - Total songs = rap songs + country songs - Total songs = 5 rap songs + 7 country songs = 12 songs 2. Determine the number of favorable outcomes (selecting a rap song). - Favorable outcomes = 5 (rap songs) 3. Use the probability formula: - Probability (P) = Number of favorable outcomes / Total number of outcomes - P(rap song) = 5 / 12 Therefore, the probability that a randomly selected song is a rap song is \( \frac{5}{12} \). This probability can also be written as a decimal, approximately 0.4167, or as a percentage, approximately 41.67%. ---
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