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.
~~~~~~~~~~~~~~~~~~~~~~


<pre>
With the probability  {{{1/88}}}  the cat will guess the 1-st piano key correctly.


With the probability  {{{1/88}}}  the cat will guess the 2-nd piano key correctly.


          . . . and so on . . .



The <U>ANSWER</U>  is  P = {{{(1/88)^8}}} = {{{1/88^8}}}.
</pre>

Solved, answered and explained.