A Markov chain models the weather as Sunny, Cloudy, or Rainy. If it’s Sunny, there’s a 0.7 probability it stays Sunny, 0.2 probability it becomes Cloudy, and 0.1 probability it becomes Rainy the next day. If it’s Cloudy, probabilities are 0.4 (Sunny), 0.3 (Cloudy), and 0.3 (Rainy). If it’s Rainy, probabilities are 0.2 (Sunny), 0.3 (Cloudy), and 0.5 (Rainy). If the current state vector is [0.5, 0.3, 0.2], what is the probability of a Rainy day after 3 days?