In January in a Certain City the Unconditional Probability of Rain

Multiple Choice

In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of
Rain on a day following a nonrainy day is 0.250. Find the probability of rain on three randomly
Selected consecutive days in January.

A) 0.144
B) 0.090
C) 0.064
D) 0.216