Law - that's the kind of studies that will provide you some decent work, not the chemistry... But what's poker for

I'll work for fun and play for life

Hello from Poland! I've spoken once to a Slovenian, we nearly managed to understand each other while talking our native languages. Funny

.

And according your question: you're right about the number of combination. Now the number of 4 coins falling on one side and 4 on another. Assume that "x" is one side and "o" the other:

xxxxoooooo

xxxoxooooo

xxxooxoooo

xxxoooxooo

...

xxoxxooooo

xxoxoxoooo

xxoxooxooo

Pretty lot of counting, isn't it? I suggest you try the other way.

If you want to calculate the probability of 4 coins landing on one side and 6 on another, you calculate ( 10 over 4 ) * 0,5^4 * 0,5^6 - the first symbol's called Newton's symbol (in Polish at least) and it's calculated like that: (10 over 4) = 10! / ((10-4)! * 4!). First 0,5 is the probability of success, 4 is the fraction of success and so on. Here we have the same probability of success and loss, so the ending value is (10! * 0,5^10) / (6! * 4!) =~ 0,205078125, so about 20,5%. This is fine if you now what side of coin is a success. If you want to say what's the probability of coin falling on one of the sides 4 times and on another 6 times, it's 41%.

Uff. Hope my poor english didn't wreck the whole explaination.

You can read more about it on the site I suggested...