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Math Help - Numbers in a big bag

  1. #1
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    Numbers in a big bag

    If I put all the numbers between 0 and 1 into a big bag (Yes, a very big bag)

    And that I ask you to pick one,

    what would be the probability for you to pick a transcendental number over an algebraic number?

    (As you know, there is in the bag an infinite number of algebraic numbers and an infinite number of transcendental numbers )
    Last edited by LChenier; September 25th 2012 at 02:37 PM.
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  2. #2
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    Re: Numbers in a big bag

    Quote Originally Posted by LChenier View Post
    If I put all the numbers between 0 and 1 into a big bag.
    And that I ask you to pick one, what would be the probability for you to pick a transcendental number over an algebraic number?
    The set of algebraic numbers is countable. Therefore the set of transcendental numbers must be uncountable.
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