Consider the experiment of rolling two dice (one die is blue and the other is red) and the following events:

A: The sum of the dice is 6 and B: Both dice have even numbers and C: The difference (absolute value) of the dice is 2 and D: the blue die has an even number

Find

a. p(A and B)

b. p(A or B)

c. Are A and B mutually exclusive events?

d. AreAandBindependentevents?

e. Are C and D independent events?