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Multiples of 6 (Posted on 2024-02-22) Difficulty: 2 of 5
The number 24 is a multiple of 6, and its reversal, 42, is also a multiple of 6.

What is the probability that the reversal of any randomly-chosen multiple of 6 is also a multiple of 6?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Some Thoughts re(2): Benford's Law | Comment 6 of 9 |
(In reply to re: Benford's Law by Jer)

Actually, the probability does not approach a limit if the interval is (0,n) as n --> infinity.  The probability has a maximum of about 49.38% if n = 9*10^k and a minimum of 2/9 if n = 2*10^k.  The probability oscillates between those two values.  The average of all probabilities across (0,n) as n --> infinity should approach 39.1%.  For a rough approximation, average the high and low values to get 36%.  


If you don't believe me, ask Charlie to write a program.  

 

  Posted by Steve Herman on 2024-02-22 19:16:39
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