Tossing coins, one fair, one unfair: how to represent the probability tree? Suppose I have a fair coin and an unfair coin. The fair coin has head, tail, the unfair coin has both heads.
You pick one coin at random and toss them two times and observe the outcomes.
Which of the figure below is a better probability tree representation of these experiments (top or bottom)?
I am raising the question because, in the first figure, it seems to draw the head twice is redundant, given that the probability of getting a head is certainty. 


I think you interpreted it wrong for unfair coin probablity of getting head is greater than or less than half not equal to half also it may not be equal to one so your second tree emphasize on only one condition that coin is unfair with all head with probablity 1 which not seems to look correct.This is my thought maybe you are also right.
