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there are five disc in the CD player the player has a random button that selects songs at random and does not repeat until all songs replace what is the probability that the first song is selected from PS4 and the second song is your answer in a decimal rounded to the third decimal places

Answer :

We have a total of 58 songs in all the discs.

The probability of getting a song from disc 4 first is:

[tex]P=\frac{12}{58}=\frac{6}{29}[/tex]

Now, the probability of getting a song fomr disc 1 second is:

[tex]P=\frac{16}{57}[/tex]

Therefore the probability of this things happen after one another is:

[tex]P=\frac{6}{29}\cdot\frac{16}{57}=\frac{32}{551}=0.058[/tex]

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