Suppose we have two random variables, A and B, where A takes on values a1, a2 and B takes on values b1, b2. Let P(A = a1) = 0.5 and P(B = b1) = 0.5
Suppose a1 and b2 are disjoint (mutually exclusive).
What is p(a1, b2) ?
What is p(a1, b1) ?
What is p (a 1 |b 2 ) ?
Suppose instead that A,B are independent.
What is p (a1, b2) ?
What is p (a1, b1) ?
What is p (a 1 |b 2 ) ?