Diversity in Nature - An Intuitive Explanation

Consider 2 bags, each full of numbers - the same numbers (say, 1 to 1000). Pick up a number from the first and one from the second bag. There is more probability of they being UNEQUAL, than they being THE SAME. The chance of picking up a ‘47’ from the second bag too, after picking up a ‘47’ from the first bag is very very less. 

In general, inequality can happen in 'many' ways; equality in only 'one' special case. Thus there is more chance for inequality to happen. When you take 2 things in nature, there is a higher chance of them being different from each other, in some respect, than the same. Difference/Variation is the norm; Similarity/Match the exception, in nature.

REASON - 

The below observation is factually correct, but that it is the REASON for the above or that the above is ROOTED in the below, is an intuitive statement. Is that correct?

Is it so that there is a high chance of "different things being different" and "same things being same"? What I mean is - when you take two things, any two numbers, they being two numbers means that they are (two) DIFFERENT numbers. And that corresponds to the high chance of them being DIFFERENT from each other too. If you take the same thing twice i.e. "take 2 SAME things", so to speak, then there is a very high (100%) chance of them being SAME too (unless of course if the thing changed in the time interval between taking it the two times).

So, DIFFERENT => DIFFERENT. SAME => SAME.