Question

Antonio puts six different CDs in a CD player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD?

Answer 1

zero

Explanation:

We are told that the CD player randomly plays a song.
Therefore the probability of it playing two songs is zero.

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What might have been intended:
Maybe the question should be: "If the Cd player plays songs, what is the probability that the first song will be the first song from the first CD and the second song from the sixth CD?"

The answer to this depends upon the CD player:
If the player plays any song with equal probability (regardless of which CD the song is on), then we need to know how many songs are on each CD.

If the player picks a CD with equal probability and then plays a song from that CD, then the answer is `1/36` (since the probability of picking the first CD first is `color(blue)(1/6)` and the probability of picking the sixth CD second (after picking the first CD first is `1/6xxcolor(blue)(1/6)`)