Ila wants to go out and play basketball with her friends tomorrow, but the basketball court's availability depends on two variables: the weather and the number of COVID cases. i) When there are more than 400 new COVID cases in the county, the court will be open with 10% chance. Otherwise, it's open with 95% chance. [la checks the COVID forecast, which predicts that there will be less than 400 new COVID cases with 45% chance. What is the probability that the court will be open based on tomorrow's COVID forecast? ii) Assume that on any day, there is a 60% chance that it's sunny. Ila also knows that of the days when the court was open, 80% of them were sunny days. Knowing the COVID forecast from the previous part, use your answer above to nd the probability that the court is open given that it's sunny tomorrow