In a fairy tale, the fairy grandmother has assured the queen that her yet unborn baby prince will not die until the following set of conditions is fulfilled.

A scroll shall be prepared, and on the day of the birth and every subsequent birthday, a letter of the Greek alphabet from Α to Ω inclusively, chosen at random with replacement, shall be entered on the scroll. On the day that all the 24 distinct letters from Α to Ω of the alphabet appears, the prince will die.

Determine the expectation of the prince's life in years.

list
   10   for I=23 to 1 step -1
   20   T=T+24//I
   30   next
   40   print T,T/1
OK

run
 1332950097//14872858    89.6229962660841648592

that is

1332950097/14872858 years  ~= 89.6229962660841648592 years

Posted by Charlie on 2009-12-10 18:48:17