For each of the following expressions, say whether or not it is correct as a statement of the Partition Theorem.

a. P(A) = P(A | B) + P(A | B) for any events A and B.

b. P(A) = P(A ∩ B) + P(A ∩ B) for any events A and B.

c. P(A) = P(A | B)P(B) + P(A | B)P(B) for any events A and B.

d. P(A) = P(B | A)P(B) + P(B | A)P(B) for any events A and B.

e. P(A) = P(A | B1)P(B1) + P(A | B2)P(B2) for any events A, B1, and B2.