If I see a number at random, what's the probability that the first digit is odd
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If I see a number at random, what's the probability that the first digit is odd

[From: ] [author: ] [Date: 12-02-21] [Hit: ]
yahoo.As the numbers arent truly random, you can apply this Law.Summing up the values for 1,3,5,......
This is a take-off of a currently posted Y!A question:

http://answers.yahoo.com/question/index;…

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Benford's Law

As the number's aren't truly random, you can apply this Law.

Summing up the values for 1,3,5, 7 and 9, you get log_10 (256/63)
which is approximately 60.89%

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The first digit of the number will be:

1,2,3,4,5,67,8 or 9 Total number of digits = 9

Odd digits are: 1,3,5,7 and 9. Total number of odd digits = 5

Hence, the probability thatthe first digit will be an odd digit is 5/9

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It's 1/2. In this group of 10 numbers- take 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 - five begin odd and five begin even. From then on, it'll be ten odd, ten even...a hundred odd, a hundred even...it's 1/2.

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The first digit of a number can't be 0, so you're choosing 1,3,5,7,9 as successful outcomes out of 1-9 (nine possibilities), so 5/9 is the probability.

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wouldn't common sense say 50/50? that is my non scientific approach haha.

seriously though taking into account zero it makes the probability indefinite. The larger the sample the closer to 50% each number becomes
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