Right, but there is exactly one outcome with all heads, and there are at least millions of combinations with 50% heads and 50% tails. To make it more obvious,

Right, but there is exactly one outcome with all heads, and there are at least millions of combinations with 50% heads and 50% tails. To make it more obvious, let's take just 4 flips. There is exactly one combination with 4 heads: HHHH Whereas all the following will give you 2 heads and 2 tails: HHTT HTHT HTTH THHT THTH TTHH So you're 6x more likely to get 50% heads/tails than 100% heads. Scale that up to 30; the chances of getting 15 heads and 15 tails is not the most common thing but not unusual. The chances of getting all heads is quite rare -- if every human on earth did this test, we'd expect around 7 such instances total.