Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. Chen is going to listen to 360 songs. What is the best prediction for the number of times Chen will listen to a classical song? Choose 1 answer: (A) Exactly 90 times (B) Close to 90 times but probably not exactly 90 times (C) Exactly 160 times (D) Close to 160 times but probably not exactly 160 times

Total Number of Songs: Chen's Jumble has a total of 4 classical songs, 3 rock songs, and 2 rap songs. To find the total number of songs, we add these together. Total number of songs = 4 classical + 3 rock + 2 rap = 9 songs.Probability of Classical Song: To find the probability of Chen listening to a classical song, we divide the number of classical songs by the total number of songs. Probability of a classical song = Number of classical songs / Total number of songs = 4/9.Predicted Number of Classical Songs: To predict the number of times Chen will listen to a classical song out of 360 songs, we multiply the total number of songs Chen will listen to by the probability of listening to a classical song. Predicted number of classical songs = Total songs Chen will listen to * Probability of a classical song = 360 * (4/9).Calculation: Performing the calculation, we get: Predicted number of classical songs = 360 * (4/9) = 160.

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Chen has an MP $3$ player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has $4$ classical songs, $3$ rock songs, and $2$ rap songs on it. Chen is going to listen to $360$ songs. $\newline$ What is the best prediction for the number of times Chen will listen to a classical song? $\newline$ Choose $1$ answer: $\newline$ (A) Exactly $90$ times $\newline$ (B) Close to $90$ times but probably not exactly $90$ times $\newline$ (C) Exactly $160$ times $\newline$ (D) Close to $160$ times but probably not exactly $160$ times

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Algebra 2

Find probabilities using the addition rule

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Q. Chen has an MP

3

player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has

4

classical songs,

3

rock songs, and

2

rap songs on it. Chen is going to listen to

360

songs.

\newline

What is the best prediction for the number of times Chen will listen to a classical song?

\newline

Choose

1

answer:

\newline

(A) Exactly

90

times

\newline

(B) Close to

90

times but probably not exactly

90

times

\newline

160

times

\newline

(D) Close to

160

times but probably not exactly

160

times

Total Number of Songs: Chen's Jumble has a total of $4$ classical songs, $3$ rock songs, and $2$ rap songs. To find the total number of songs, we add these together. $\newline$ Total number of songs = $4$ classical + $3$ rock + $2$ rap = $9$ songs.
Probability of Classical Song: To find the probability of Chen listening to a classical song, we divide the number of classical songs by the total number of songs. $\newline$ Probability of a classical song $= \frac{\text{Number of classical songs}}{\text{Total number of songs}} = \frac{4}{9}$ .
Predicted Number of Classical Songs: To predict the number of times Chen will listen to a classical song out of $360$ songs, we multiply the total number of songs Chen will listen to by the probability of listening to a classical song. $\newline$ Predicted number of classical songs $= \text{Total songs Chen will listen to} \times \text{Probability of a classical song} = $360$ \times \left(\frac{$4$}{$9$}\right).
Calculation: Performing the calculation, we get:$\newline$Predicted number of classical songs = $360 \times \left(\frac{4}{9}\right) = 160$.