Question

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 22 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?

Answer 1

Answer:

Nearly 50 times

Step-by-step explanation:

Chen's Jumble has 4 classical songs, 3 rock songs, and 22 rap songs on it, 4 + 3 + 22 = 29 songs in total.

The probability to listen the classic song is

$\dfrac{\text{Number of classic songs}}{\text{Total number of songs}}=\dfrac{4}{29}$

Chen is going to listen to 360 songs. Then the predicted number of times Chen will listen classic songs is

$360\times \dfrac{4}{29}=\dfrac{1,440}{29}\approx 49.7\approx 50$