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e Venn diagram below shows the 9 students in Ms. Ramirez's class. The diagram shows the memberships for the Tennis Club and the Soccer Club. A student from the class is randomly selected. Let $A$ denote the event "the student is in the Tennis Club." Let $B$ denote the event "the student is in the Soccer 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 Rachel is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas. (a) Find the probabilities of the events below. Write each answer as a single fraction. $P(A)=∥IP(B)=P(AandB)=P(B∣A)=P(A)⋅P(B∣A)= $ (b) Select the probability that is equal to $P(A$ and $B)$. $P(A)⋅P(B∣A)P(B∣A)P(B)P(A) $

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