Could the vibe be due to the fact that HHHH… seems like the coin could not just be biased - it could be completely broken and come up heads every time. There ar

Could the vibe be due to the fact that HHHH… seems like the coin could not just be biased - it could be completely broken and come up heads every time. There are two distinct possibilities here: 1) the coin is broken and is always H 2) the coin is random or possibly biased, and you got a string of H by chance And observing the string of H… increases the probability of 1) in the Bayesian sense. With the two coins you eliminate this possibility altogether - a broken coin can never produce HT or TH.