Three Important Probability Questions (God Included!)

[Bork]

Take the infinite set 1 through infinite. Ask god to draw a number at random.

A)What are the odds he will draw an odd number?

B)What are the odds he will draw a prime number?

C) What are the odds he will draw the number 7?

If you are unable to calculate decent approximations for these atleast rank them from most probable to least probable.

My thoughts in white, probably best to answer the above before reading:


<font color="white">I am inclined to think. A: .5 B: some very low decimal maybe even 0, C: same as B but lower?

The thought experiment which throws a monkey wrench in this: take a scrabble bag with the entire infinite set of numbers in it. Ask God to count the odd numbers for you. He says infinite. He gives the same answer for primes, right? infinite = infinite doesnt it? So shouldnt they be equally likely to be drawn?

There are as many odds as there are primes right? /images/graemlins/confused.gif

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He will draw the number 3 every time. Nothing he does is random, and that's his lucky number.

What was the point of this thread?

Oh, and 1/infinity is zero, not some really low decimal.

[Girchuck]

It is most likely that you will not have enough life span to listen to the number that god draws.

[kuro]

"Not all infinite objects are of the same size." (http://en.wikipedia.org/wiki/Cardinal_number)