Question

3.2 Let P(A) = P(B) = 2p and let P(A ∪ B) = 3p. Which of the following
are always true?
(A) p = 0
(B) A and B are independent
(C) P((A ∩ B)c) = 1 − p
(D) A and B are mutually exclusive
(E) none of the above.

If P(A) = 0.3, P(B) = 0.3 and P(A | B) = 0.3 then
(A) A and B are mutually exclusive
(B) P(A ∩ B) = 0
(C) A and B are independent
(D) all of the above
(E) none of the above.

3x+y+2z=3

2x-3y-z=-3

X+2y+z=4

3x+y+2z=3

2x-3y-z=-3

X+2y+z=4