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Blue Moon (Posted on 2007-06-07) Difficulty: 3 of 5
The most common current definition of a blue moon is the second full moon of a calendar month.

Given that the full moon occurs every 29.5 days what is the long term probability that when a blue moon occurs it is in a specific month? Use the regular (every 4th year) leap year formula for February.

Consider a world/calendar with a lunar cycle of exactly 29 days and whose months are randomly assigned 30 or 31 days (with equal probability and no yearly repetition.) What is the long term probability that a blue moon falls on a 30 day month?

See The Solution Submitted by Jer    
Rating: 3.0000 (1 votes)

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Puzzle Answer Comment 2 of 2 |
Part:1
---------
January   3/25
February  0
March     3/25
April     1/25
May       3/25
June      1/25
July      3/25
August    3/25
September 1/25
October   3/25
November  1/25
December  3/25

Part:2
----------
given blue moon would have a probability of finding itself in a 30-day month= 1/3 not saying which one, and the probability of finding itself in a 31-day month=2/3

Edited on August 5, 2023, 3:58 am
  Posted by K Sengupta on 2023-08-04 08:54:53

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