SOLUTION: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 8 keys in sequence and at random (possibly with repetition), will strike the first eigh

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Question 1179686: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 8 keys in sequence and at random (possibly with repetition), will strike the first eight notes of Beethoven's Fifth Symphony.
Answer by ikleyn(52770) About Me  (Show Source):
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A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 8 keys in sequence
and at random (possibly with repetition), will strike the first eight notes of Beethoven's Fifth Symphony.
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With the probability  1%2F88  the cat will guess the 1-st piano key correctly.


With the probability  1%2F88  the cat will guess the 2-nd piano key correctly.


          . . . and so on . . .



The ANSWER  is  P = %281%2F88%29%5E8 = 1%2F88%5E8.

Solved, answered and explained.