More precisely, Benford's Law states that the leading digit n (n = 1, ..., 9) occurs with color=#0000ffprobability color=#0000fflog₁₀(n + 1) - log₁₀(n), or

Leading digit	Probability
1	30.1 %
2	17.6 %
3	12.5 %
4	9.7 %
5	7.9 %
6	6.7 %
7	5.8 %
8	5.1 %
9	4.6 %

One can also formulate a law for the first two digits: the probability that the first two-digit block is equal to n (n = 10, ..., 99) is log₁₀(n+1) - log₁₀(n), and similarly for three-blocks without leading zeros and longer blocks.

[ color=#0000ffedit]

Explanation

That in general the leading digit 1 should be more common than the other digits can be understood as follows: start counting from 1: 1, 2, 3, ... As you reach 9, every digit will have been equally likely. But then, from 10 to 19, you only have the leading digit 1, so 1 gets a huge head start. Only when you reach 99 will all digits be equally likely again. But then 1 gets another huge head start from 100 to 199. And so it continues: 1 has always a lead, except for very rare exceptions (9, 99, 999, 9999, ...). This is not particularly satisfactory as an explanation, unless some probability of stopping counting at some point is also included

The only real failure .....is the failure to try.

Luck is a very rare thing....... Odds not so much.

Odds never change .....but probability does.

Win d

emilyg

50

United States
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November 9, 2001
31,614 Posts
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Nov 18, 2004, 7:10 pm

certainly was true tonight 413

love to nibble those micey feet.
four4me

MD
United States
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June 18, 2003
10,731 Posts
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Nov 19, 2004, 2:09 am

I cant agree either. Here in MD so far this month pick 3 drawings the number 1 appeared in the first position only 2 times. And pick 4 three times. Oh well so much for stats.
11/1/04 382 1632 602 3412
11/2/04 669 8171 476 1109
11/3/04 023 2341 496 6436
11/4/04 001 4882 292 7253
11/5/04 303 6722 777 4688
11/6/04 671 2807 091 7319
11/7/04 099 9402 165 9881
11/8/04 914 3177 428 4698
11/9/04 859 2533 857 5845
11/10/04 989 9572 634 5994
11/11/04 806 5658 904 9177
11/12/04 338 2374 580 7342
11/13/04 641 6429 099 2772
11/14/04 959 6621 449 4026
11/15/04 843 1984 495 7806
11/16/04 142 3244 097 8761
11/17/04 543 5587 880 2796
11/18/04 650 4993 946 7634
WIN D

Stone Mountain*Georgia
United States
Member #828
November 2, 2002
10,491 Posts
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Nov 19, 2004, 6:34 am

Hey gang ! Thats why I posted this interesting article on numbers in the real world and was very careful to put that at the top of the article. Folks involved in our hobby should at least be aware that this phenomenon exist in the real world. Especially if they are always looking there for inspiration and that days numbers to use in the lottery world....LOL Too many One's exist over there !
"For Real World data Anyway" LOL

The only real failure .....is the failure to try.

Luck is a very rare thing....... Odds not so much.

Odds never change .....but probability does.

Win d
enterceptorr

United States
Member #7,931
October 18, 2004
312 Posts
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Nov 20, 2004, 4:55 am

what would the obverse notation be on this schematic?
and how ould one apply conical spheres?
LOTTOMIKE

Tennessee
United States
Member #7,853
October 15, 2004
11,352 Posts
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Nov 25, 2004, 2:28 pm

i never play ones since the tennessee lotto five started there have been almost 50 drawings,there was only one single drawing outta fifty drawings so far where the number one showed!!