Geometry

Question Analysis
This question involves calculating the probability of a specific sequence of three independent events related to song selection on a music streaming playlist.
The main focus is on determining the individual probabilities of selecting each genre of song in a single draw and applying the multiplication rule for independent events to find the combined probability of the given song - playing sequence.

Key Concept Explanation
Each song selection in shuffle mode is an independent event, as the outcome of one selection does not influence the others.
For multiple independent events , , and , the probability of all of them occurring in a specific order is given by the formula .
The probability of selecting a particular genre of song in a single draw is calculated as the ratio of the number of songs of that genre to the total number of songs in the playlist.

Step-by-Step Solution
Calculate the probability of each song selection:
The total number of songs in the playlist is 15.
The probability of selecting a rock song first, .
The probability of selecting a pop song second, .
The probability of selecting a jazz song third,