Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places. The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is  .

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Asked Nov 14, 2019
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Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places.

 

The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is 
 
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Expert Answer

Step 1

Total number of songs are 6.

Let A be the event that first song is by Aaron Carter. P(A)=1/6

Let B be the event that second song is by Joey ...

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P(AB) P(A)P(B|A) 11 6 5 30 0.0333

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