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. What is P(rock song or rap song)?

Respuesta :

Answer:

[tex]\text{Probability(rock song or rap song)}=\frac{9}{10}[/tex]

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

[tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}[/tex]

[tex]\text{Probability(rock song)}=\frac{13}{20}[/tex]

[tex]\text{Probability(rap song)}=\frac{5}{20}[/tex]

[tex]\text{Probability(rock song or rap song)}=\text{Probability(rock song)}+\text{Probability(rap song)}[/tex]

[tex]\text{Probability(rock song or rap song)}=\frac{13}{20}+\frac{5}{20}[/tex]

[tex]\text{Probability(rock song or rap song)}=\frac{13+5}{20}=\frac{18}{20}[/tex]

[tex]\text{Probability(rock song or rap song)}=\frac{9}{10}[/tex]

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:

[tex]p = \frac{18}{20} = 0.9[/tex]

Then:

  • P(rock song or rap song) = 0.9.

You can learn more about the probability concept at https://brainly.com/question/15536019

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