1. (20 points) You roll a fair, 6-sided die. Define the following events:

A -> die lands on "5"

B -> die lands on "4"

C -> die lands on an odd number

D -> die lands on a number greater than 2

E -> die lands on "1"

Answer the following questions about the events.Feel free to leave your probability answers as fractions if you please. If you use decimals, use three digits to the right of the decimal point to express your answer.

1. Of the six possible outcomes in the sample space (die lands on 1, die lands on 2, die lands on 3, die lands on 4, die lands on 5, die lands on 6), what outcome(s) make(s) event A true?

1. Of the six possible outcomes in the sample space, what outcome(s) make(s) event B true?

1. Of the six possible outcomes in the sample space, what outcome(s) make(s) event C true?

1. Of the six possible outcomes in the sample space, what outcome(s) make(s) event D true?

1. Of the six possible outcomes in the sample space, what outcome(s) make(s) event E true?

1. What is P(A)?

1. What is P(B)?

1. What is P(C)?

1. What is P(D)?

1. What is P(E)?

1. What is P(A U B)?

1. What is P(A B)?

1. What is P(A U C)?

1. What is P(A C)?

1. What is P((C D) U E)?

1. What is P((A U B) (C U E))?