Question

You have 3 3 rap songs, 6 6 country songs, and 4 4 rock songs on your MP3 player. You shuffle the songs so they play at random without repeating. What is the probability that the first song will be rap and the second song will be country?

Answer 1

3/26 / about 11.5%

Explanation:

Since there are 3 rap songs and 13 songs total. the probability of the first song being rap is 3/13, and because the songs cant repeat there are only 12 songs total now since the first rap song wont play again, that would mean the probability of a country song playing second is 6/12. Now you would multiply the 3/13 and 6/12 since both of these must occur. That means the probability of the first song being rap and the second song being country is 3/26.