Human Computation

Question 1

P(A) =

Answer 1

1 - P(A’)

Question 2

P(A | B’) =

Answer 2

1 - P(A’ | B’)

Question 3

P(A,B) =

Answer 3

P(A) × P(B | A)
P(A) × P(B) if A and B are independent

Question 4

P(A,B | C) =

Answer 4

P(A | C) × P(B | C)

Question 5

P(A or B) =

Answer 5

P(A) + P(B) - P(A,B)
P(A) + P(B) if A and B are disjoint i.e. P(A,B) = 0

Question 6

P(A) =

Answer 6

P(A,B1) + P(A, B2) + … + P(A, Bn) where all Bi are a partition of B

Question 7

P(A | B) =

Answer 7

P(B | A) × P(A)/P(B) Bayes’ Theorem
P(A,B) / P(B)

Question 8

Conditional Independence

Answer 8

Knowing that event C has occurred, the occurrence of event A provides no additional information about the occurrence of event B, and vice versa.