Real-World Use of Probability and Counting Rules

Favorite Artist is Monica. There is only one song of hers on the playlist of 50 songs.

Favorite Genre is RnB. There are 28 songs on the playlist.

I. Determine the probability that the first song to play from the list will NOT be by the favorite artist.

II. If you decide to create a playlist that only includes the songs by your favorite artist from the playlist of 50 songs, determine how many ways the songs in this new playlist can be arranged.

III. State the total # of genres that appear in your list of 50 songs and identify one as your favorite genre.

IV. Based on that genre, create a tree diagram to illustrate the # of ways to choose TWO songs from the list of 50 selected songs.

V. Given that the first song chosen is from your favorite genre, determine the probability that the second song is also from your favorite genre if the playlist is set to shuffle and no song will repeat.

VI. Given that two songs will be chosen, determine the probability that at the least one of the songs will be from your favorite genre.