Ta da! Wish granted!
The way probabilities for independent events work is that they get closer and closer to the given chance when you have more and more trials - in other words, the success rate is the long term rate. If you have a 50/50 chance, then 3 runs in a row could be damn near anything. 10 runs in a row might be five As and five Bs…but probably not. 100 runs in a row would probably be closer to fifty As and fifty Bs, but almost certainly not exact. A billion runs in a row would probably be reeeeeally close to half a billion As and half a billion Bs - and if you “zoomed in” to any given run of three in a row inside that set of a billion, then those three would be right back to the “damn near anything” that we started with.