180 students in a tenth grade high school class take a survey about which video game consoles they own. 80
students answer that one of their consoles is a Playstation, 90 answer that one of their consoles is an Xbox. Out
of these, there are 30 who have both systems.
Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the
student has an Xbox. Based on this information, answer the following questions.
What is P(A), the probability that a randomly selected student has a Playstation?
What is PB), the probability that a randomly selected student has an Xbox?
What is P(A and B), the probability that a randomly selected student has a Playstation and an Xbox?
What is PB A), the conditional probability that a randomly selected student has an Xbox given that he or
she has a Playstation?
Is P(B A) = P(B)? Are the events A and B independent?
Choose all answers that apply: