Hmm, yes you're right from this alone we don't seem to be given the P(rain) on one day. All the choices are valid squares of a probability so I don't see some other "trick" that could be used to exclude choices. I'm with you, ksrush.
In order to calculate the probability of rain on two days. you have to know the probability of rain on any one day! Either they failed to mention that the probability of rain on any one day was 0.2 or that information was given earlier.