Skewed I agree with you answer but not sure of the assumption.
In your answer whether 5 days were consecutive or not wouldn't matter.
if it reads 3 consecutive days out of 5 consecutive days then
C(3,1) * 3/5*3/5*2/5*2/5*2/5
My assumption was in regard to the number of days it rains. Should've probably phrased it as "it rains 3 out of 5 consecutive days, not 3 consecutive days out the 5 consecutive days".