Debbie has two stocks, x and y. consider the following events:

x = the event that the price of stock x has increased
y = the event that the price of stock y has increased

the event "the price of stock x has increased and the price of stock y has not increased" may be written as

(a) x′ ∩ y
(b) x or y′
(c) x or y
(d) x ∩ y′

The correct answer is (D)

Step-by-step explanation:

Given the events X and Y:

X = the price of stock X has increased

Y = the price of stock Y has increased

That means that the complement of these events are:

X' = the price of stock X has not increased

Y' = the price of stock Y has not increased

Hence, the event "the price of stock X has increased and the price of stock Y has not increased" may be written as:

X ∩ Y′