A playlist contains 10 rock songs, 3 country songs, 5 R&B songs, and 2 blues songs....
A playlist contains 10 rock songs, 3 country songs, 5 R&B songs, and 2 blues songs. Suppose that we randomly pick 4 songs (without repetitions) to play.
a. What is the probability that we get 1 song from each of the 4 genres?
b. What is the probability that all 4 songs are selected from the same 1 genre?
c. What is the probability that 3 of the 4 genres appear during the 4 songs?
d. Knowing the answers to a, b, c, you can use the complement to find the probability that 2 of the 4 genres appear during the 4 songs. (To test your strength, are you able to also calculate this probability directly?)
P(2 of the 4 genres appear during the 4 songs)=
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