Which of the following best describes the probability of liking 5 out of 13 tracks when playing a Spotify playlist with the random feature? A) 1/13 B) 5/13 C) 5/26 D) 5/91 E) 10/13

1 answer

This question is asking for the probability of liking 5 out of 13 tracks when playing a Spotify playlist with the random feature.

The number of ways to choose 5 tracks from a playlist of 13 tracks is given by the combination formula: C(13, 5) = 13! / (5! * (13-5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287.

The total number of possible outcomes when randomly selecting 5 tracks from a playlist of 13 is given by the combination formula: C(13, 5) = 1287.

Therefore, the probability of liking 5 out of 13 tracks is 1/1287.

Thus, none of the given options accurately describe the probability. The correct answer should be "None of the above".