There are 200 students in an eleventh-grade high school class. There are 40 students in the soccer team and 50 students in the b
asketball team. Out of these students, there are 10 who play on both teams. Let A be the event that a randomly selected student plays soccer and B be the event that the student plays basketball. Based on this information, answer the following questions.
What is P(A) the probability that the student plays soccer?
What is P(B) the probability that the student plays basketball?
What is P(A and B) the probability that the student plays soccer and basketball?
What is P(A | B) the conditional probability that the student plays soccer given that he or she plays basketball?
Is P(A | B)=P(A)? Are events A and B independent?
Choose all answers that apply:
(Choice A)
Yes, P(A | B)=P(A)
(Choice B)
No, P(A | B)≠P(A)
(Choice C)
Yes, events A and B independent events.
(Choice D)
No, events A and B are not independent events.
