10.6 C4U - Probability Review #2

Last updated 3 months ago

11 Nsɛmmisa

Spotify claims:

47% of its users are aged 13–24
25% are aged 25–34
28% are 35 or older

Suppose that for the 13- to 24-year-olds, 45% identified hip hop as their favorite music genre, 25% of the 25- to 34-year-olds identified hip hop as their favorite music genre, and 13% of the users 35 or older identified hip hop as their favorite music genre. Suppose we select one Spotify user at random and record their age and whether their favorite music genre is hip hop.

Make a tree diagram to help you find the following probabilities.

(Round your answers to two decimal places or the nearest whole percent.)

Suppose a person is randomly selected. What is the probability that they are 13 to 24-years old and hip hop is their favorite music genre?

Suppose a person is randomly selected. What is the probability that they are 25 to 34-years old and hip hop is their favorite music genre?

Suppose a person is randomly selected. What is the probability that they are 35 years or older and hip hop is their favorite music genre?

Suppose a person is randomly selected. Overall, what is the probability that a randomly selected person has hip hop as their favorite music genre?

Reese doesn’t trust the “shuffle” feature for streaming music so she has developed her own system. She made a list that ranks her top 6 favorite artists:

1 - BTS

2 – The Weeknd

3 – Taylor Swift

4 – Billie Eilish

5 – Drake

6 – Eminem

Each day she rolls a die to determine the artist and then tosses a coin to determine which streaming service she will use: Heads – Spotify

Tails - Apple Music

10.6 C4U - Probability Review #2

Spotify claims:

Make a tree diagram to help you find the following probabilities.

(Round your answers to two decimal places or the nearest whole percent.)

Suppose a person is randomly selected. What is the probability that they are 13 to 24-years old and hip hop is their favorite music genre?

Suppose a person is randomly selected. What is the probability that they are 25 to 34-years old and hip hop is their favorite music genre?

Suppose a person is randomly selected. What is the probability that they are 35 years or older and hip hop is their favorite music genre?

Suppose a person is randomly selected. Overall, what is the probability that a randomly selected person has hip hop as their favorite music genre?

Write out the sample space of all probabilities.

(Round your answers to two decimal places or the nearest whole percent.)

What is the probability that Reese gets Taylor Swift or The Weeknd?

What is the probability that Reese gets Taylor Swift or Spotify?

Given that she gets Spotify, what is the probability that she gets Eminem?

Spotify claims:

Make a tree diagram to help you find the following probabilities.

(Round your answers to two decimal places or the nearest whole percent.)

Suppose a person is randomly selected. What is the probability that they are 13 to 24-years old and hip hop is their favorite music genre?

Suppose a person is randomly selected. What is the probability that they are 25 to 34-years old and hip hop is their favorite music genre?

Suppose a person is randomly selected. What is the probability that they are 35 years or older and hip hop is their favorite music genre?

Suppose a person is randomly selected. Overall, what is the probability that a randomly selected person has hip hop as their favorite music genre?

Suppose a person is randomly selected. Given that the person has hip hop as their favorite music genre, what is the probability they are 13 to 24-years old?

Write out the sample space of all probabilities.

(Round your answers to two decimal places or the nearest whole percent.)

What is the probability that Reese gets Taylor Swift or The Weeknd?

What is the probability that Reese gets Taylor Swift or Spotify?

Given that she gets Spotify, what is the probability that she gets Eminem?

What is the probability that Reese gets Apple Music and Billie Eilish?

Given that she gets Drake, what is the probability that she gets Apple Music?

What is the probability that Reese gets Drake and Eminem?

Suppose a person is randomly selected. Given that the person has hip hop as their favorite music genre, what is the probability they are 13 to 24-years old?

What is the probability that Reese gets Apple Music and Billie Eilish?

Given that she gets Drake, what is the probability that she gets Apple Music?

What is the probability that Reese gets Drake and Eminem?