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3 is the magic number

3 is the magic number

Posers and Puzzles

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The post that was quoted here has been removed
Hmm -- some life in this forum!

a. 10%
b. I nearly fooled myself, but 10%
c. By intuitive analogy, I'm thinking also 10% (please don't ask me to show my work)
d. Please see my answer to "c."

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@Paul-Martin said
b. 19%
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 53, 63, 73, 83, 93
Oh -- hahaha -- very good.

Well, I had better leave it to others to work out c. and d. 😉

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The post that was quoted here has been removed
New approach: you didn't specify integers, so the answer for each range is 50%. 😉

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Mine was still the best answer to the problem as originally posed. 😉

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A month later, and nobody's answer has convincingly surpassed mine. 😉

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@Arkturos said
A month later, and nobody's answer has convincingly surpassed mine. 😉
Are you @Metal-Brain?

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@Suzianne said
Are you @Metal-Brain?
No, nor am I Pete Davidson, in case you have been wondering.

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@Arkturos said
Hmm -- some life in this forum!

a. 10%
b. I nearly fooled myself, but 10%
c. By intuitive analogy, I'm thinking also 10% (please don't ask me to show my work)
d. Please see my answer to "c."
Please don't.

My 2 little brain cells are having enough trouble deciphering the Caro Kann B12 variation. 😕

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The post that was quoted here has been removed
By that logic, 100% is also the answer to the question "what percentage of numbers contain at least one digit wh/ is a 4, or a 5, or a 6...", too. And that cannot be right, not all simultaneously anyway. So the question arises, whether it makes any sense to talk about a percentage (any percentage) of infinity, as if infinity were itself a fixed quantity.

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