Given a fair coin: The odds of getting 12 Heads in a row is quite low. The odds of getting 12 Heads in a row when you’ve already observed 11 coin flips land h

Given a fair coin: The odds of getting 12 Heads in a row is quite low. The odds of getting 12 Heads in a row when you’ve already observed 11 coin flips land heads up is 50%. Knowing that the odds of 12 Heads in a row is low, that you’ve seen 11 Heads in a row, and that - if you observe the next flip land heads up - you’ll have observed something quite rare, doesn’t influence the next coin flip.