The Venn diagram below shows the 14 students in Ms. Henderson's class. The diagram shows the memberships for the Art Club and the Dance Club. A student from the class is randomly selected. Let A denote the event "the student is in the Art Club." Let B denote the event "the student is in the Dance Club." The outcomes for the event A are listed in the circle on the left. The outcomes for the event B are listed in the circle on the right. Note that Melissa is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The Venn diagram below shows the 14 students in Ms. Henderson's class.
The diagram shows the memberships for the Art Club and the Dance Club.
A student from the class is randomly selected.
Let A denote the event "the student is in the Art Club."
Let B denote the event "the student is in the Dance Club."
The outcomes for the event A are listed in the circle on the left.
The outcomes for the event B are listed in the circle on the right.
Note that Melissa is outside the circles since she is not a member of either club.
Answer each part below. If necessary, consult a list of formulas.
Melissa
Laura
Kala
Jim
Ivanna
Eric
Pablo
Art
Deshaun
Yolanda
Rachel
Dance
Carmen
Salma
Debra
Omar
Transcribed Image Text:The Venn diagram below shows the 14 students in Ms. Henderson's class. The diagram shows the memberships for the Art Club and the Dance Club. A student from the class is randomly selected. Let A denote the event "the student is in the Art Club." Let B denote the event "the student is in the Dance Club." The outcomes for the event A are listed in the circle on the left. The outcomes for the event B are listed in the circle on the right. Note that Melissa is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas. Melissa Laura Kala Jim Ivanna Eric Pablo Art Deshaun Yolanda Rachel Dance Carmen Salma Debra Omar
(a) Find the probabilities of the events below.
Write each answer as a single fraction.
P(A) = ||
P (B) =
P(A and B) =
P(A | B) =
P(B) · P(A | B) = |
.
(b) Select the probability that is equal to P (A and B).
OP (B).P(A/B)
OP (A)
OP (A/B)
OP (B)
Transcribed Image Text:(a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = || P (B) = P(A and B) = P(A | B) = P(B) · P(A | B) = | . (b) Select the probability that is equal to P (A and B). OP (B).P(A/B) OP (A) OP (A/B) OP (B)
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