#math trivia #246 solution

Intuitively, I’d guess that the most frequent even-digit-count is probably 1, because that’s what it would be for two-digit numbers, as well as numbers in the 100-199 and 300-365 ranges.  Only numbers in the 200-299 range would be more likely to have an even-digit-count of 2.  (Numbers in the smaller 1-9 range would be more likely to have an even-digit-count of 0.)

Let’s see if this works:

Range Even-digit-count = 0 = 1 = 2 = 3
1-9 5 4 0 0
10-99 25 45 20 0
100-199 25 50 25 0
200-299 0 25 50 25
300-365 15 33 18 0
Total 70 157 113 25

The intuition is correct: an even-digit-count of 1 is the most likely.

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