Question: A two die, one being a fair dice and the other being an unfair dice.

Please show all steps and explanations!

Fair dice

x	p(x)
1	1/6
2	1/6
3	1/6
4	1/6
5	1/6
6	1/6

Unfair dice

x	p(x)
1	1/12
2	3/6
3	1/12
4	3/6
5	1/12
6	1/12

Events:

E1: Rolling at least one 7

E2: Rolling a total of 9

Calculate

P(E1)

P(E2)

P(E1 AND E2)

P(E1 OR E2)

P(E1 | E2)

P(E2 | E1)

Please write well and be easy to read/follow!!