SOLUTION: A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 4 are country songs. The disc jockey randomly chooses the first song to
Algebra.Com
Question 1094502: A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 2 are reggae songs, and 4 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are rock songs? Write your answer as a fraction in simplest form.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are 2 rock songs out of 8 total. So the probability of picking a rock song is 2/8 = 1/4
After the first rock song is chosen, we have 2-1 = 1 rock song left out of 8-1 = 7 total. The probability of selecting another rock song is 1/7
Multiply the two probabilities: (1/4)*(1/7) = (1*1)/(4*7) = 1/28
RELATED QUESTIONS
A radio disc jockey has 7 songs on this upcoming hour's playlist:
2 are rock songs,
2 (answered by FrankM)
A radio disk jockey has 7 songs on this upcoming hours playlist; 3 are rock songs, 2 are... (answered by ikleyn,jim_thompson5910)
Show all work. A disc jockey has 7 songs to play. 5 are slow songs, and 2 are fast songs. (answered by stanbon)
Hello Can someone please help me with this problem. I really do not understand how to do... (answered by Alan3354)
A disc jockey has 9 songs to play. Five are slow songs, and 4 are fast songs. Each song (answered by stanbon,chandrumail)
can you please help me?
show all work, a disk jockey has 9 songs to play. 5 are slow,... (answered by stanbon)
5. Show all work. A disc jockey has 10 songs to play. Seven are slow songs, and three are (answered by Alan3354)
5. Show all work. A disc jockey has 12 songs to play. Seven are slow songs, and five are... (answered by allig,lstoney)
Show all work. A disc jockey has 7 songs to play. Three are slow songs, and four are fast (answered by stanbon)