On: Fair coins tend to land on the same side they star...

[toxik]

I think about it this way

p(th) = p(t) p(h)

p(ht) = p(h) p(t)

Hence p(th) = p(ht) regardless of coin imbalance as long as both events actually will happen. QED.

[aqme28 → toxik]

Yeah this is simpler. You're just throwing away every pair that isn't a TH or HT