tossing a coin a few times has a random event chance. tossing the coin many times averages out the random chance to evens.

This sounds pretty close to the gambler's falacy, so let's be precise. Every toss of a coin is independent of every other toss. If the coin is fair, that means there is no bias of heads over tails or vice versa. That's far from the same as saying that in the long run you shouldn't get more than one than the other.

Suppose you toss a fair coin an even number of times, N = 2n. If we only care about the number of heads and tails, it is true that the most probable outcome is that H = T. However, as N gets bigger, the probability of that specific outcome gets smaller. If we consider the difference between the number of heads and tails D = H - T, and we average the absolute value of that difference over all possible outcomes, |D|

_{avg} gets bigger as N gets bigger. The absolute value is important, because more heads than tails is just as likely as more tails than heads, but the more times you toss, the bigger the range of likely differences becomes.

Now there is a sense in which the results of the tosses "even out." While |D|

_{avg} gets bigger, |D|

_{avg}/N gets smaller. So if we imagine a game where I keep all the coins that come up heads, and you keep all the coins that come up tails; the longer we play, the bigger the margin that one of us is winning by is likely to become, but the smaller that margin becomes compared to the nearly equal amounts that each of us has received.

so do short term random events have a different rule as i seem to be lucky. of course in the universe i presume someone else doing the same test must be equally unlucky??

If we are talking about something like tossing coins, each toss follows the same rule, just as I said above. A long run of coin tosses doesn't follow any different rules that a short run. The difference between what we expect (in the mathematical sense) from a long run and a short run is entirely down to the fact that a long run has a different set of possibilities available to it than a short run does.

Since I don't know what you mean by "lucky" it's hard to answer more precisely than that. I will say, however, that people are really lousy at recognizing true random behavior. If you toss a coin a large number of times and write down the results of the tosses, not only is it likely that you won't have exactly the same number of heads as tails, but you will probably have runs of heads and runs of tails that will look too long. They're not. We intuitively think that the heads and tails should be evenly distributed, but there are far more ways that you can come up with clusters of the same result consecutively than to have them spread out. If you have normal intuitions about probability, the collection of possible outcomes that look "lucky" to you is actually far greater than the collection of outcomes that look "normal" to you.