1)A red and a blue die are thrown. Both dice are fair (that is, all sides are equally likely). The events , , and are defined as follows: : The number on the blue die is 1. : The sum of the numbers on the two dice is less than 4. : The sum of the numbers on the two dice is even.

a. Calculate the probability of each individual event; that is, (), (), and ().

b. What is (|)?

c. What is (|)?

d. What is (|)?

e. Consider all pairs of events: and , and , and and . Which pairs of events are independent and which pairs of events are not independent? J