A song is chosen at random from a person's mp3 player. The student makes a partition of the sample space, according to genre of music. The table below gives the number of outcomes in each part of the partition. There are 27,333 song altogether.

Let A be the even that a song is either blues, jazz, or rock, i.e.,
A = {x | x is a blues, jazz, or rock song},
when one song is chosen at random. Assume that all songs are equally likely to appear.
a. What is the probability of randomly selecting a blues song?
b. What is P(A)?
c. Did you need to use inclusion-exclusion for part b? (Explain very briefly; one sentence will do.)
d. What is P{AC)?

Transcribed Image Text:

83 Electronic 56 Metal 508 Folk 2718 Other 183 Gospel 1786 Pop 1032 Alternative 330 Blues 275 Books &Spoken 1 1468 Children's Music 82 Hip-Hop 403 R&B 564 Holiday 8286 Rock 921 Classical 6169 Country 37 Jazz432 Soundtrack 178 Easy Listening 106 216 World