Re: The Consise Cantor Disproof

On 25 May 2005 14:21:33 -0700, "HERC777" <herc777@xxxxxxxxxxx> wrote:

>Is
>0.00000000000000000000000000000000000000000000000000000000000000000000
>
>equally as likely as
>
>0.00110101000111011010100101011101010010100110101010100101001000111011101
>
>to be output from a random generator?

Assumming that 0 and 1 are equally llkely for each digit, no. The
probability of the second number being produced is 1/8 the probability
the first. (It contains three more digits, and it is easy to show
that P(x) = (1/2)^n where x is a number with n digits.).

>Given those 2 reals, which is more likely to have come from a fair
>random process choosing from 2 digits?

The first is 8 times more likely.

Martin

.

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