Question

Of the songs in devin's music library, 1/3 are rock songs. of the rock songs, 1/10 feature a guitar solo. what fraction of the songs in devin's music library are rock songs that feature a guitar solo?

Answer 1

The fraction of songs in Devin's music library that are rock songs featuring a guitar solo is 1/30.

Step-by-step explanation:

To find the fraction of songs in Devin's music library that are rock songs featuring a guitar solo, we need to multiply the fractions for each category. First, we find the fraction of songs that are rock songs, which is 1/3. Then, we find the fraction of rock songs that feature a guitar solo, which is 1/10. To find the fraction of songs that are rock songs featuring a guitar solo, we multiply 1/3 and 1/10: 1/3 * 1/10 = 1/30.

Answer 2

To find the fraction of songs in Devin's music library that are rock songs featuring a guitar solo, multiply the fractions representing the probability of each event happening. The combined probability is 1/30.

Step-by-step explanation:

To find the fraction of songs in Devin's music library that are rock songs featuring a guitar solo, we need to multiply the fractions representing the probability of each event happening. First, we have 1/3 of the songs that are rock songs. Then, of the rock songs, 1/10 feature a guitar solo. To find the combined probability, we multiply these fractions:

1. Probability of rock songs: 1/3
2. Probability of guitar solo in rock songs: 1/10

To find the combined probability, we multiply the two fractions: 1/3 * 1/10 = 1/30.

Therefore, the fraction of songs in Devin's music library that are rock songs and feature a guitar solo is 1/30.