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!!!!!HELP!!!!!

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60
students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out
of these, there are 20 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 P(B), the probability that a randomly selected student has an XBOX?
What is PA and B), the probability that a randomly selected student has a Playstation and an XBOX?
What is P(A B), the conditional probability that a randomly selected student has a Playstation given that he
or she has an XBOX?

is P(A B)=P(A)? Are the events A and B independent?

User Mikanikal
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5.7k points

2 Answers

3 votes

Answer:

Yes and Yes

Explanation:

Yes, events A and B are independent events

Yes, P(A | B) = P(A).

User Doug Moscrop
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5.3k points
2 votes

Answer:

Explanation:

!!!!!HELP!!!!! 150 students in a tenth grade high school class take a survey about-example-1
User Vbence
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5.4k points