5 Two fair dice are rolled Lets dene the following events A

5. Two fair dice are rolled. Let\'s dene the following events:

A = {sum of the numbers rolled is odd};

B = {sum of the numbers rolled is greater than 8} :

(a) Find the probabilities P(A) and P(B). [Hint: first define events A and B explicitly, as a list of all outcomes in an event.]

(b) Find the probabilities P(A U B) and P(A n B). [Hint: first define events A U B
and A n B explicitly, as a list of all outcomes in an event.]
(c) Are events A and B independent? Why?

Solution