KöMaL 2008 C954
Peter's favourite CD has eleven songs on it. He likes the eighth one best. When he inserts the CD in the player, he presses a button to start the first song and then he needs to press another button seven times to reach the favourite song. If he sets the player to ``random'', the player shuffles the 11 songs and plays them in that random order. What is the probability that it takes fewer presses of buttons to reach the favourite song in this way?
Official text KöMaL. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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