Suppose that there’s a 20% chance of rain on Saturday. The probabilities for Sunday depend on what happens on Saturday. If it rains on Saturday, then there’s an 80% chance of rain on Sunday and if it doesn’t rain on Saturday, there’s a 10% chance of rain on Sunday. 

a. Express these three percentages as probabilities, using appropriate notation. 

b. Create a probability tree to represent these probabilities. 

c. Determine the probability that it rains on both Saturday and Sunday. 

d. Determine the probability that it rains on Sunday. 

e. Determine the conditional probability that it rained on Saturday, given that it rained on Sunday.