Question

POSSIBLE POINTS: 0.71 An MP3 player has 60 songs stored on it. Of the songs, 21 are rock, 9 are rap, 18 are dance, and 12 are country. If songs are played randomly, find the probability of each event. A rap song is played​

Answer 1

Answer:

outcome for rock = 21/60 = 7/20

outcome for rap = 3/20

outcome for dance = 3/10 or 6/20

outcome for country 1/5, 2/10 or 4/20

Step-by-step explanation:

possible outcomes = 21+9+18+12 = 60

outcome for rock = 21/60 = 7/20

outcome for rap = 3/20

outcome for dance = 3/10 or 6/20

outcome for country 1/5, 2/10 or 4/20

Answer 2

The probability of playing a rap song is 3/20.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

0.71 An MP3 player has 60 songs.

The sample space is the number of songs stored in MP3 player.

⇒ $n(s)=60$

Number of rock songs, $n(rock)=21$

Number of rap songs, $n(rap)=9$

Number of dance songs, $n(dance)=18$

Number of country songs, $n(country)=12$

Formula for the probability of an event is $P(e)=\frac{n(e)}{n(s)}$

Probability of playing a rock song, $P(rock)=\frac{21}{60}$

⇒ $\frac{7}{20}$

Probability of playing a rap song, $P(rap)=\frac{9}{60}$

⇒ $\frac{3}{20}$

Probability of playing a dance song, $P(dance)=\frac{18}{60}$

⇒ $\frac{9}{20}$

Probability of playing a country song, $P(country)=\frac{12}{60}$

⇒ $\frac{1}{5}$

Hence we can conclude that the probability of playing a rap song is 3/20.

Learn more about probability here

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