on the previous question

[cjqsg]

A and B both pick a random integer separately. What is the probability that A and B end up with the same integer

Comments

[lanyingjie]

I think I'd describe my first reaction to this as: "you can't assume the probability of picking each number to be the same!".

What's the chance A or B would choose 6 as compared to 264364363463263634634623466346262626234623463426362364?

Most definitely not the same.

[cjqsg]

If the chances are indeed not the same, then A and B are not picking an integer at random. But in this question, I am assuming that they are.

of course, if your point is that it is not possible that they are, then read on.

[lanyingjie]

Hmm I read the earlier post actually, but the thing is I think the probability of them picking an integer at random here is not quite valid.

They're picking an integer at random yes, but within a limited mindspace, say from 1 to 1000. It is extremely unlikely their mindspace will be extended to some insanely big number.

Which is still random, though however random it may be compared to choosing from a larger set is something I'm not in a position to comment on.