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There are 200 students in an eleventh grade high school class. There are 40 students in the soccer team and 50 students in the basketball 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 the events A and B independent? Choose all answers that apply: Yes, P(A|B) = P(A). А No, P(A|B) + P(A). B

There are 200 students in an eleventh grade high school class. There are 40 students in the soccer team and 50 students in the basketball 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 the events A and B independent? Choose all answers that apply: Yes, P(A|B) = P(A). А No, P(A|B) + P(A). B

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are 200 students in an eleventh grade high school class. There are 40 students in the soccer team and 50 students in the basketball 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 the events A and B independent? Choose all answers that apply: Yes, P(A|B) = P(A). A No, P(A| B) + P(A). C Yes, events A and B are independent events. D No, events A and B are not independent events.
Transcribed Image Text:There are 200 students in an eleventh grade high school class. There are 40 students in the soccer team and 50 students in the basketball 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 the events A and B independent? Choose all answers that apply: Yes, P(A|B) = P(A). A No, P(A| B) + P(A). C Yes, events A and B are independent events. D No, events A and B are not independent events.
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