a Why would any of the songs be more likely to be chosen?
B
b The probability of an event is the number of favorable outcomes divided by the number of possible outcomes.
C
c The probability of an event is the number of favorable outcomes divided by the number of possible outcomes.
D
d The probability of an event is the number of favorable outcomes divided by the number of possible outcomes.
E
e The probability of an event is the number of favorable outcomes divided by the number of possible outcomes.
A
a Yes.
B
b 2/5
C
c 3/5
D
d 1/5
E
e 4/5
Practice makes perfect
a There is a list of songs that are played randomly without repeating any of the individual songs. As the songs are randomly chosen from the list without repeats, they are all equally likely to be chosen as the first song.
b The probability that a country song will play is the number of country songs on the playlist divided by the number of songs. Let us identify all of the songs that are country.
&I Love My Mama (country) ← [-0.5em]
&by the Strings of Heaven [0.5em]
&Don't Call Me Mama (country) ← [-0.5em]
&Duet by Sapphire and Hank Tumbleweed [0.5em]
&Carefree and Blue (R & B) [-0.5em]
&by Sapphire and Prism Escape [0.5em]
&Go Back To Mama (Rock) [-0.5em]
&Duet by Bjorn Free and Sapphire [0.5em]
&Smashing Lollipops (Rock) [-0.5em]
&by Sapphire
Of the 5 songs, 2 of them are country. With this information the probability of choosing a country song can be calculated.
P(Country song)=2/5
c Like in Part B, we start by identifying all of the songs that contains the word Mama in the title.
&I Love My Mama (country) ← [-0.5em]
&by the Strings of Heaven [0.5em]
&Don't Call Me Mama (country) ← [-0.5em]
&Duet by Sapphire and Hank Tumbleweed [0.5em]
&Carefree and Blue (R & B) [-0.5em]
&by Sapphire and Prism Escape [0.5em]
&Go Back To Mama (Rock) ← [-0.5em]
&Duet by Bjorn Free and Sapphire [0.5em]
&Smashing Lollipops (Rock) [-0.5em]
&by Sapphire
There are 3 songs with the name Mama in the title. With this information, we can calculate the probability that the song contains Mama in the title.
P(Mama in title)=3/5
d There is only 1 song with a duet by Hank Tumbleweed.
&I Love My Mama (country) [-0.5em]
&by the Strings of Heaven [0.5em]
&Don't Call Me Mama (country) ← [-0.5em]
&Duet by Sapphire and Hank Tumbleweed [0.5em]
&Carefree and Blue (R & B) [-0.5em]
&by Sapphire and Prism Escape [0.5em]
&Go Back To Mama (Rock) [-0.5em]
&Duet by Bjorn Free and Sapphire [0.5em]
&Smashing Lollipops (Rock) [-0.5em]
&by Sapphire
With this information we can determine the probability that she listens to a duet by Hank Tumbleweed.
P(Hank Tumbleweed)=1/5
e There is only 1 song that is R & B. &I Love My Mama (country) [-0.5em]
&by the Strings of Heaven [0.5em]
&Don't Call Me Mama (country) [-0.5em]
&Duet by Sapphire and Hank Tumbleweed [0.5em]
&Carefree and Blue (R & B) ← [-0.5em]
&by Sapphire and Prism Escape [0.5em]
&Go Back To Mama (Rock) [-0.5em]
&Duet by Bjorn Free and Sapphire [0.5em]
&Smashing Lollipops (Rock) [-0.5em]
&by Sapphire
This means there are 4 songs of different genres on the playlist. Now we can calculate the probability that she does not listen to a song that is not R & B.
