A Meteorology Company Is Contracted by a Solar Power Plant

Short Answer

A meteorology company is contracted by a solar power plant company that has a solar power plant in both New York City and Los Angeles. The contractor has data which gives the probability of a sunny day in New York City as 0.4, and the probability of a sunny day in Los Angeles as 0.3. The data also show that the probability of a sunny day in either New York City or Los Angeles is 0.58. What is the probability that it will be a sunny day in both New York City and Los Angeles, on the same day? What is the probability that neither New York City nor Los Angeles has a sunny day on the same day?