Verified Answer :
Answer:
\(\text{Probability(rock song or rap song)}=\frac{9}{10}\)
Step-by-step explanation:
Given : Joel has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Joel's Jumble has 2 classical songs, 13 rock songs, and 5 rap songs on it.
To find : What is P(rock song or rap song)?
Solution :
Joel's Jumble has 2 classical songs, 13 rock songs, and 5 rap songs on it.
Total number of songs = 2+13+5=20
\(\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}\)
\(\text{Probability(rock song)}=\frac{13}{20}\)
\(\text{Probability(rap song)}=\frac{5}{20}\)
\(\text{Probability(rock song or rap song)}=\text{Probability(rock song)}+\text{Probability(rap song)}\)
\(\text{Probability(rock song or rap song)}=\frac{13}{20}+\frac{5}{20}\)
\(\text{Probability(rock song or rap song)}=\frac{13+5}{20}=\frac{18}{20}\)
\(\text{Probability(rock song or rap song)}=\frac{9}{10}\)
Using the probability concept, it is found that:
- P(rock song or rap song) = 0.9.
What is a probability?
- A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
- Joel has a total of 2 + 13 + 5 = 20 songs.
- Of those, 18 are either rock or rap.
Hence:
\(p = \frac{18}{20} = 0.9\)
Then:
- P(rock song or rap song) = 0.9.
You can learn more about the probability concept at https://brainly.com/question/15536019