From its TV studio's in Bountiful, Reality TV is marketing a new reality TV series called "Who Wants To Marry a Bigamist". In the exciting final episode the bigamist will ask the final two contestants, Agnes and Bertha, to marry him. The executives have determined that there is a 40% chance that Agnes will say yes and a 50% chance that Bertha will say yes. If Agnes and Bertha act independently

Suppose Agnes will be asked first and if she says No the probability that Bertha will say yes will increase to 70%. What is the probability at least one of the women will say yes?