Here in the 4 pictures in the last answer, is the vertical axe the probability? I.e. it seems to me that it is somewhat unnormalized : it has the value 2 in the 2nd picture and 3 in the 3rd picture. In the l.h.s. of each picture they write that this vertical axe really should be a probability. So why it is not in the range $[0,1]$? Also, they write
Note that as soon as you see your first Tail after the 3rd flip, the prior probability of p is now 0 at p=1 - ie there is SOME probability of seeing Tail.
So the value at each point should be in the range $[0,1]$, but it is not!