A and B are two Boolean events that are independent of each other. P(A) = 0.3 and P(B) = 0.6. Compute the following three quantities:
P (A and B).
P (A or B).
P (A => B).
Note that (A => B) is a Boolean expression. You are asked to compute the probability that (A => B) evaluates to true.
(1) Use the product rule for the probability of the intersection of independent events.
(2) Use the additive rule for the probability of the union of non disjoint events.
(3) Use Implication Equivalence to express the Boolean statement in Distributive Normal Form, then evaluate the probability as above.