Suppose I have an experiment where I toss a coin $100$ times, for example. My expectation value would be equal number of heads and tails, since that result has the highest probability compared to any other individual outcome.
Now, I have the two following scenarios :
I perform this experiment of tossing a $100$ coins infinite time. Does the law of large numbers say that as the number of experiments tend towards infinity, the total number of heads and tails that I got across all the experiments tend to be equal. Is this correct ?
Or does it mean that if I toss a single coin an infinite number of times, I'd get equal number of heads and tails.
Can someone tell me which one is correct, and in the case that both of them are wrong, point out the flaw in my understanding ?