Problem 6. Consider the space of two coin tosses 12 = {HH, HT, TH, TT}. (a) Recall the set F2 that was defined in class as F2 = {0, 0, AH, AT, AHH, AHT, ATH, ATT, AHH, AHT, ATH, ATT, AHH U ATH, AHH U ATT, AHT U ATH, ATT U AHT} , Show that this is a o-algebra. (It is sufficient to verify a couple of example for each property). (b) (bonus) Can you specify all the o-algebras on 12