SOLUTION: A radio disk jockey has 7 songs on this upcoming hours playlist; 3 are rock songs, 2 are raggae and 2 are country The disk jocky randomly chooses the first song to play, and then r

Question 1158116: A radio disk jockey has 7 songs on this upcoming hours playlist; 3 are rock songs, 2 are raggae and 2 are country The disk jocky randomly chooses the first song to play, and then randomly chooses the second song from the remaining ones What is the probability that the first song is country and the second song is reggae? Write your answer as a fraction in simplest form
Found 2 solutions by ikleyn, jim_thompson5910:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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He (or she) chooses randomly the first from 7 songs, and with the probability it will be country. He (or she) chooses randomly the second from the remaining 6 songs, and with the probability = it will be reggae. ANSWER. The probability under the question is the product P = = . ANSWER

Solved.

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It is the CORRECTED version of my previous post, which had a mistake.

Now the mistake is corrected, and you see the correct version.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Answer: 2/21

Explanation:
There are 2 country songs out of 3+2+2 = 7 total. The probability of picking country is 2/7. After that song is selected, we have 7-1 = 6 songs left, 2 of which are reggae. The probability of selecting reggae after the country song is 2/6 = 1/3.

Multiply the probabilities 2/7 and 1/3 to get
(2/7)*(1/3) = (2*1)/(7*3) = 2/21

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