Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard. Suppose that
P(A) = 0.2, P(B) = 0.3, and P(A \cap B) = 0.05.
(a) Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of the event A \cup B).
(b) What is the probability that the selected individual has neither type of card?
(c) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.
$\circ$ A' \cap B
$\circ$ A \cap B'
$\circ$ A \cup B'
$\circ$ A' \cup B'
$\circ$ A' \cap B'
Calculate the probability of this event.
