If a CD player is programmed to play the CD tracks in random order and there are six songs on your CD, there are a total of 6! (6 factorial) possible orders in which the songs can be played.
Since we want the CD player to play the songs from your favorite to your least favorite, there is only one specific order that satisfies this condition.
Therefore, the probability that the CD player will play the songs in order from your favorite to your least favorite is:
1/(6!) = 1/720 ≈ 0.00139 or 0.139%.
If a CD player is programmed to play the CD tracks in random order and there are six songs on your CD, what is the probability that it will play the songs in order from your favourite to your least favourite?
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