Consider a city X where the probability that it will rain on any given day is 1%. You have a weather prediction algorithm that predicts the weather at the start of each day and obeys two rules: a. Before a rainy day, it'll predict rain with probability 90% b. Before a dry (no rain) day, it'll predict rain with probability 1%. Find the probability that 1. The probability that it won't rain given that your algorithm predicted a rainy day. 0.01 X 0.01 2. The probability that it will rain given that your algorithm predicted a dry day. 0.1 X 0.1
