The Venn diagram below shows the 11 students in Ms. Bailey's class. The diagram shows the memberships for the Music Club and the Basketball Club. Note that "Jessica" and "Hong" are outside the circles since they are not members of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Music Club." Let B denote the event "the student is in the Basketball Club." Jessica Hong Ashley Ravi Music Basketball Diane Ivanna Carlos Trey Linda Lamar Justin

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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The Venn diagram below shows the 11 students in Ms. Bailey's class.
The diagram shows the memberships for the Music Club and the Basketball Club.
Note that "Jessica" and "Hong" are outside the circles since they are not members of either club.
One student from the class is randomly selected.
Let A denote the event "the student is in the Music Club."
Let B denote the event "the student is in the Basketball Club."
Jessica
Hong
Ashley
Ravi
Music
Basketball
Diane
Ivannal
Carlos
Trey
Linda
Lamar
Justin
Transcribed Image Text:The Venn diagram below shows the 11 students in Ms. Bailey's class. The diagram shows the memberships for the Music Club and the Basketball Club. Note that "Jessica" and "Hong" are outside the circles since they are not members of either club. One student from the class is randomly selected. Let A denote the event "the student is in the Music Club." Let B denote the event "the student is in the Basketball Club." Jessica Hong Ashley Ravi Music Basketball Diane Ivannal Carlos Trey Linda Lamar Justin
(a) Find the probabilities of the events below.
Write each answer as a single fraction.
P(A) =
P(B) =
P(A or B) =
P(A and B) =
P(A) + P (B) − P (A and B) =
(b) Select the probability that is equal to P (A) + P (B) − P (A and B).
P(A and B)
OP (B)
OP (A or B)
OP (A)
Transcribed Image Text:(a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = P(B) = P(A or B) = P(A and B) = P(A) + P (B) − P (A and B) = (b) Select the probability that is equal to P (A) + P (B) − P (A and B). P(A and B) OP (B) OP (A or B) OP (A)
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