. Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die shows 3 dots, B be the event that the green die shows 4 dots, and C be the event that...

. Consider independently rolling two fair dice, one red and the other green. Let A be the event that

the red die shows 3 dots, B be the event that the green die shows 4 dots, and C be the event that the

total number of dots showing on the two dice is 7.

(a) Are these events pairwise independent (i.e., are A and B independent events, are A and

C independent, and are B and C independent)?

(b) Are the three events mutually independent?