Question 240002: My favorite CD has 11 songs on it, and I have memorized the songs and the order in which they come. I recently loaded it onto my IPOD to listen to it. I wanted to listen to it in the right order, but I had accidentally set the player to shuffle-play the songs from that album in a random order. Assuming the "next to play" song was always equally likely among the choices not yet played, what is the probability that it will play the correct 5 songs in the correct order so that I don't notice the mistake (until after the fifth song)?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! If shuffle allows repeats, then it's 1 chance out of 11^5, = 1 of 161051.
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If it doesn't allow repeats until all songs are played (which is stated), the possible sequences are 11*10*9*8*7 = 55440 --> 1 chance in 55440.
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